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International Journal of Computer Mathematics, Volume 99
Volume 99, Number 1, January 2022
- Sergio Blanes, Fernando Casas

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Preface for the special issue "Geometric numerical integration, twenty-five years later". 1-3 - David Cohen

, Gilles Vilmart
:
Drift-preserving numerical integrators for stochastic Poisson systems. 4-20 - José Ángel Oteo, J. Ros:

Why Magnus expansion. 21-30 - Tobias Böhle, Christian Kuehn

, Mechthild Thalhammer:
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. 31-57 - Elena Celledoni, Ergys Çokaj

, Andrea Leone
, Davide Murari
, Brynjulf Owren
:
Lie group integrators for mechanical systems. 58-88 - Dan T. Abell

, Alex J. Dragt:
Structure-preserving techniques in accelerator physics. 89-112 - Brian K. Tran

, Melvin Leok
:
Multisymplectic Hamiltonian variational integrators. 113-157 - Mikel Antoñana

, Philippe Chartier, Ander Murua:
Majorant series for the N-body problem. 158-183
Volume 99, Number 2, February 2022
- Fabio Gómez, Jaime A. Londoño

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Optimal consumption, investment, and life insurance purchase: a state-dependent utilities approach. 185-203 - Christian P. Fries

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Stochastic algorithmic differentiation of (expectations of) discontinuous functions (indicator functions). 204-226 - Jiling Cao, Biyuan Wang, Wenjun Zhang

:
Valuation of European options with stochastic interest rates and transaction costs. 227-239 - Li-Bin Liu, Yanping Chen

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A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation. 240-246 - Mehmet Ali Özarslan

, Arran Fernandez
:
On the fractional calculus of multivariate Mittag-Leffler functions. 247-273 - Shengyue Li, Wanrong Cao, Zhaopeng Hao:

An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution. 274-291 - Mufutau Ajani Rufai

, Higinio Ramos
:
A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications. 292-308 - Hongwei Jiao, Youlin Shang, Wenjie Wang:

Solving generalized polynomial problem by using new affine relaxed technique. 309-331 - Jamilu Sabi'u

, Abdullah Shah
, Mohammed Yusuf Waziri
:
A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations. 332-354 - Gang Peng:

A positivity-preserving finite volume scheme for convection-diffusion equation on general meshes. 355-369 - Shan Li, Jinju Wu, Zhongqing Wang

:
Sobolev orthogonal Legendre rational spectral methods for exterior problems. 370-390 - Wei Ma

:
Two-step Ulm-Chebyshev-like Cayley transform method for inverse eigenvalue problems. 391-406
Volume 99, Number 3, March 2022
- Xin Zhao

, Bo Tian, Qi-Xing Qu, He Li, Xue-Hui Zhao, Chen-Rong Zhang, Su-Su Chen:
Kadomtsev-Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid. 407-425 - Amirouche Berkani

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Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping. 426-445 - Sayed A. Dahy

, Kareem T. Elgindy
:
High-order numerical solution of viscous Burgers' equation using an extended Cole-Hopf barycentric Gegenbauer integral pseudospectral method. 446-464 - Shahid Zaman

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Spectral analysis of three invariants associated to random walks on rounded networks with 2n-pentagons. 465-485 - Arezou Rezazadeh, Zakieh Avazzadeh

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Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method. 486-505 - Bang-Qing Li

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Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients. 506-519 - Quanwei Ren:

Compensated two-step Maruyama methods for stochastic differential equations with Poisson jumps. 520-536 - Cundi Han, Yiming Chen, Gang Cheng, Roger Serra, Lei Wang, Junyao Feng:

Numerical analysis of axially non-linear viscoelastic string with the variable fractional order model by using Bernstein polynomials algorithm. 537-552 - Devendra Kumar:

A uniformly convergent scheme for two-parameter problems having layer behaviour. 553-574 - Mohammad Ivan Azis

, Mostafa Abbaszadeh
, Mehdi Dehghan
:
An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. 575-590 - Rim Aldbaissy

, Frédéric Hecht, Gihane Mansour, Toni Sayah
, Pierre-Henri Tournier:
Scalable domain decomposition preconditioner for Navier-Stokes equations coupled with the heat equation. 591-606 - Liangliang Zhai, Junjie Wang:

High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations. 607-628 - Ghazala Akram, Naila Sajid:

The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the expa and exp (- Φ (ξ)) methods. 629-640
Volume 99, Number 4, April 2022
- Ioannis Toulopoulos:

A model and numerical investigation for rolling metal process using continuous finite element discretizations. 641-664 - Rachid Fakhar

, Abdellah Lamnii
, Mohamed-Yassir Nour
, Ahmed Zidna:
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters. 665-679 - Yue Wu

:
A randomized trapezoidal quadrature. 680-692 - Faisal A. Fairag, Ke Chen

, Carlos Brito-Loeza
, Shahbaz Ahmad:
A two-level method for image denoising and image deblurring models using mean curvature regularization. 693-713 - Dipankar Kumar

, Irfan Raju, Gour Chandra Paul, M. E. Ali
, Md. Dalim Haque
:
Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation. 714-736 - Gang Dong, Zhichang Guo, Boying Wu:

Image decomposition based on nonlinear reaction-diffusion systems. 737-758 - Xiaochen Yang, Zhanwen Yang, Yu Xiao:

Asymptotical mean-square stability of linear θ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach. 759-770 - Sahar Masoudi, Abolfazl Mirzazadeh:

The new evidence reasoning based pharmaceutical inventory models with stochastic deterioration rates and lead times using PSO and GA. 771-790 - Jiyong Li:

Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation. 791-807 - Nilofar Nahid, Gnaneshwar Nelakanti:

Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials. 808-836 - Mohsen Masoudi

, Davod Khojasteh Salkuyeh
:
Semiconvergence of the extended PSS method for singular generalized saddle point problems. 837-851 - Hafida Laib

, Azzeddine Bellour
, Aissa Boulmerka
:
Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic. 852-876
Volume 99, Number 5, May 2022
- Yayun Fu, Yanhua Shi, Yanmin Zhao:

Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation. 877-894 - Li Ma

:
Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems. 895-908 - Archna Kumari, Vijay Kumar Kukreja

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Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin-Huxley equation. 909-923 - Alyaa Alway

, Nur Ezlin Zamri
, Syed Anayet Karim
, Mohd. Asyraf Mansor
, Mohd Shareduwan Mohd Kasihmuddin
, Muna Mohammed Bazuhair:
Major 2 Satisfiability Logic in Discrete Hopfield Neural Network. 924-948 - Li Pan, Ping He

, Zuxin Li, Haoyang Mi, Hong Wang:
Delay-range-dependent ℋ∞ synchronization approaches for time-delay chaotic systems. 949-965 - Khadijeh Sadri

, Hossein Aminikhah:
A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation. 966-992 - Ozlem Ersoy Hepson, Idris Dag, Bülent Saka

, Buket Ay
:
The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation. 993-1004 - Malihe Safarzadeh

, Hossein Sadeghi Goughery
, Abbas Salemi:
Global-DGMRES method for matrix equation AXB = C. 1005-1021 - Qinghua Wu, Weiwen Hou:

Efficient BBFM-collocation for weakly singular oscillatory Volterra integral equations of the second kind. 1022-1040 - Abdulkarim Hassan Ibrahim

, Poom Kumam
, Basim A. Hassan, Auwal Bala Abubakar
, Jamilu Abubakar
:
A derivative-free three-term Hestenes-Stiefel type method for constrained nonlinear equations and image restoration. 1041-1065 - Eunchae Park, Jisang Lyu, Sangkwon Kim, Chaeyoung Lee, Wonjin Lee, Yongho Choi, Soobin Kwak

, Changwoo Yoo, Hyeongseok Hwang, Junseok Kim
:
Calibration of the temporally varying volatility and interest rate functions. 1066-1079
Volume 99, Number 6, June 2022
- Habib ur Rehman

, Poom Kumam
, Meshal Shutaywi
, Nuttapol Pakkaranang
, Nopparat Wairojjana
:
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces. 1081-1104 - Guillaume Gbikpi-Benissan, Qinmeng Zou

, Frédéric Magoulès
:
Asynchronous iterations of HSS method for non-Hermitian linear systems. 1105-1123 - Policarpo Abascal, Jorge Jiménez Meana, Antonio Palacio

, María Luisa Serrano
:
Characterization and construction of tridiagonal almost strictly sign regular matrices. 1124-1138 - Nana Adjoah Mbroh, Justin B. Munyakazi

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A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines. 1139-1158 - Quan Hai, Shutang Liu:

Exponential synchronization of two different discrete-time chaotic neural networks with time delays and stochastic missing data. 1159-1177 - Xilu Wang, Xiaoliang Cheng:

Numerical analysis of a dynamic viscoplastic contact problem. 1178-1200 - Imen Nouira, Moez Khenissi

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Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term. 1201-1223 - Rui Li, Wei Zhang:

Convergence and stability of the two classes of balanced Euler methods for stochastic differential equations with locally Lipschitz coefficients. 1224-1271 - Manki Cho

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A novel efficient numerical solution of Laplace equation with mixed boundary conditions. 1272-1280 - Rui Liu, Michal Feckan

, Jinrong Wang
, Donal O'Regan:
Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations. 1281-1303
Volume 99, Number 7, July 2022
- Leijie Qiao, Bo Tang, Da Xu, Wenlin Qiu

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High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation. 1305-1324 - Chong Chen, Runqian Wang, Chandrajit Bajaj, Ozan Öktem:

An efficient algorithm to compute the X-ray transform. 1325-1343 - Zhen-Zhen Tao, Bing Sun, Hai-Feng Niu:

Galerkin spectral approximation for optimal control problem of a fourth-order equation with L2-norm control constraint. 1344-1366 - V. V. Saenko:

The calculation of the Mittag-Leffler function. 1367-1394 - Fatemeh Ghanadian, Reza Pourgholi, Seyed Hashem Tabasi

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An inverse problem for the damped generalized regularized long wave equation. 1395-1427 - Orhan Dalkiliç

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Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. 1428-1437 - Xiao Hong, Mahyuddin K. M. Nasution

, Onur Alp Ilhan
, Jalil Manafian
, Mostafa Abotaleb
:
Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method. 1438-1461 - Chaouki Aouiti, Hediene Jallouli

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Second-order nonlinear differential equations: existence, uniqueness and global exponential stability of doubly measure pseudo-almost automorphic solutions. 1462-1487 - Zohreh Abdollahi, Mahmoud Mohseni Moghadam, Habibollah Saeedi

, Mohammad Javad Ebadi
:
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method. 1488-1504 - A. M. Nagy

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Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix. 1505-1515
Volume 99, Number 8, August 2022
- Ángel García Gómez, Mihaela Negreanu, Francisco Ureña, Antonio Manuel Vargas

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Convergence and numerical solution of nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in 2D and 3D via generalized finite difference method. 1517-1537 - Gobinda Rakshit

, Akshay S. Rane, Kshitij Patil:
Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels. 1538-1556 - Lina Wang, Yichen Wei, Lijun Yi

:
An a priori error analysis of the hp-version of the C0-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations. 1557-1578 - Fujie Zhang, Na Huang

:
Generalized SOR-like iteration method for solving weakly nonlinear systems. 1579-1594 - Avijit Das

, Srinivasan Natesan
:
Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs. 1595-1616 - Supreedee Dangskul, Teeranush Suebcharoen

:
Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach. 1617-1637 - S. Sumit

, S. Kumar, M. Kumar:
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction-diffusion problems. 1638-1653 - Meng-Jun Li

, Hou-Ping Dai
, Xue-Dan Wei
, Wei Tan:
Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation. 1654-1668 - Ganesh Kumar Thakur

, M. Syed Ali, Bandana Priya
, V. Gokulakrishnan
, Syeda Asma Kauser:
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays. 1669-1686 - Higinio Ramos

, Mufutau Ajani Rufai
:
An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems. 1687-1705 - Yan Sun:

Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves. 1706-1718
Volume 99, Number 9, September 2022
- Xuan Zhao, Xiaoli Li, Ziyan Li:

Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids. 1719-1735 - Maryam Sarboland, Azim Aminataei:

On the numerical solution of time fractional Black-Scholes equation. 1736-1753 - K. Sunil Behal, Sunita Gakkhar, Tanuja Srivastava:

Dynamics of virus-patch model with latent effect. 1754-1769 - C. S. Chen, Ahmed Naji, Yanhua Cao

, Chuin-Shan Chen:
Space-time localized polynomial basis functions for solving parabolic and hyperbolic equations. 1770-1784 - Na Peng, Caiqun Wang, Jing An:

An efficient finite-element method and error analysis for the fourth-order elliptic equation in a circular domain. 1785-1802 - Xianfa Hu, Xiong You

, Yonglei Fang
:
A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations. 1803-1822 - Nguyen Minh Dien

, Tran Quoc Viet
:
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions. 1823-1848 - Zahra El Majouti

, R. El Jid, A. Hajjaj:
Numerical solution for three-dimensional nonlinear mixed Volterra-Fredholm integral equations via modified moving least-square method. 1849-1867 - Faruk Karaaslan

, Fatih Karamaz
:
Hesitant fuzzy parameterized hesitant fuzzy soft sets and their applications in decision-making. 1868-1889 - Toru Nakanishi, Norikazu Saito:

A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up. 1890-1917 - Soodeh Hosseini, Aboozar Zandvakili:

The SEIRS-C model of information diffusion based on rumour spreading with fuzzy logic in social networks. 1918-1940
Volume 99, Number 10, October 2022
- K. Mohammadi, Amjad Alipanah

, M. Ghasemi:
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology. 1941-1967 - Yanjun Li, Jiayu Han, Yidu Yang, Hai Bi:

The a priori and a posteriori error estimates of Crouzeix-Raviart element for the fluid-solid vibration problem. 1968-1988 - Yu Lou

, Yi Zhang
, Rusuo Ye:
Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators. 1989-2000 - Samiran Chakraborty

, Kapil Kant
, Gnaneshwar Nelakanti:
Error analysis of reiterated projection methods for Hammerstein integral equations. 2001-2017 - Walid Remili, Azedine Rahmoune

:
Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain. 2018-2041 - Xue Wang

, Hongxing Rui:
The locking-free finite difference method based on staggered grids for the coupled Stokes-Biot problem. 2042-2068 - Lolugu Govindarao, Jugal Mohapatra

:
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation. 2069-2090 - Zulqurnain Sabir

, Dumitru Baleanu
, Mohamed R. Ali
, R. Sadat:
A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems. 2091-2104 - Khosrow Maleknejad

, Maryam Shahabi
:
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions. 2105-2122 - Suliman Alfaqeih, Emine Misirli:

A novel conformable Laplace transform for conformable fractional Lane-Emden type equations. 2123-2138 - Mehvish Rani, Farah Aini Abdullah

, Irum Samreen, Muhammad Abbas
, Abdul Majeed
, Thabet Abdeljawad
, Manar A. Alqudah
:
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems. 2139-2158
Volume 99, Number 11, 2022
- Ömür Kivanç Kürkçü

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An evolutionary numerical method for solving nonlinear fractional Fredholm-Volterra-Hammerstein integro-differential-delay equations with a functional bound. 2159-2174 - Ha Thi Thanh Tam, Hoang Viet Long, Nguyen Phuong Dong

, Nguyen Thi Kim Son
:
On Z-fractional differential equations. 2175-2204 - Azhar Iqbal

, Muhammad Abbas
, Tayyaba Akram
, Abdullah M. Alsharif
, Ajmal Ali
:
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions. 2205-2220 - Kotapally Harish Kumar

, Ram Jiwari
:
A hybrid approach based on Legendre wavelet for numerical simulation of Helmholtz equation with complex solution. 2221-2236 - Wenxia Chen, Ru Guan, Minjie Dong, Lixin Tian, Jingjie Ma:

N-solitons, lump solution and interaction phenomenon to the Boussinesq equation. 2237-2249 - Deliang Wei

, Fang Li
:
Flexible parameter selection methods for Rician noise removal with convergence guarantee. 2250-2271 - Paul R. Arbic II

, Vladislav Bukshtynov
:
On reconstruction of binary images by efficient sample-based parameterization in applications for electrical impedance tomography. 2272-2289 - Keyvan Amini

, Parvaneh Faramarzi, Somayeh Bahrami:
A spectral conjugate gradient projection algorithm to solve the large-scale system of monotone nonlinear equations with application to compressed sensing. 2290-2307 - Haniye Dehestani

, Yadollah Ordokhani
:
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives. 2308-2326 - Zhen Wang:

High-order numerical algorithms for the time-fractional convection-diffusion equation. 2327-2348 - Yihui Han:

Pressure robust hybrid mixed finite element method for Darcy-Forchheimer model. 2349-2365
Volume 99, Number 12, 2022
- Xiaopeng Yue, Yayun Fu:

Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions. 2367-2381 - Jonathan B. Mamplata, Rogemar S. Mamon

, Guido David:
Modelling and filtering for dynamic investment in the precious-metals market. 2382-2409 - Pradip Roul

, V. M. K. Prasad Goura, Ravi P. Agarwal:
A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems. 2410-2432 - Lei Liu

, Pengde Wang:
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect. 2433-2448 - João R. Cardoso, Amir Sadeghi:

A technique for improving the computation of functions of triangular matrices. 2449-2465 - M. M. Butt:

Numerical solution to 3D bilinear Fokker-Planck control problem. 2466-2481 - Ebru Altiparmak

, Ibrahim Karahan
:
A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems. 2482-2498 - Morteza Garshasbi

, Shadi Malek Bagomghaleh:
On a moving boundary problem associated with the swelling drug release platforms. 2499-2523 - Li Chen, Shujuan Lü:

Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes. 2524-2541 - Leijie Qiao, Zhibo Wang

, Da Xu:
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel. 2542-2554 - Sourav Shil, Hemant Kumar Nashine, Fazlollah Soleymani:

On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X-βA+B∗X-γB=I,. 2555-2567 - Biplab Dhar

, Praveen Kumar Gupta
, Ahmet Yildirim
:
Dynamical behaviour of a tumour-immune model focusing on the dosage of targeted chemotherapeutic drug. 2568-2582

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