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ORCIDLukasz Plociniczak
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Journal Articles
- 2024
[j22]Josefa Caballero, Lukasz Plociniczak
, Kishin B. Sadarangani:
Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish. Appl. Math. Comput. 477: 128798 (2024)- [j21]Lukasz Plociniczak, Kacper Tazbierski:
Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. Comput. Math. Appl. 165: 217-223 (2024) - [j20]Belén López, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Juan Rocha:
Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. Commun. Nonlinear Sci. Numer. Simul. 128: 107692 (2024) - [j19]Lukasz Plociniczak, Marek A. Teuerle:
From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme. Commun. Nonlinear Sci. Numer. Simul. 139: 108316 (2024) - 2022
- [j18]Hanna Okrasinska-Plociniczak, Lukasz Plociniczak:
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. Appl. Math. Comput. 424: 127033 (2022) - [j17]Lukasz Plociniczak:
Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. Comput. Math. Appl. 127: 181-191 (2022) - [j16]Lukasz Plociniczak:
On a discrete composition of the fractional integral and Caputo derivative. Commun. Nonlinear Sci. Numer. Simul. 108: 106234 (2022) - 2021
- [j15]Lukasz Plociniczak, Mateusz Switala:
Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. Commun. Nonlinear Sci. Numer. Simul. 96: 105647 (2021) - 2020
- [j14]Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak:
A weighted finite difference method for subdiffusive Black-Scholes model. Comput. Math. Appl. 80(5): 653-670 (2020) - [j13]Hanna Okrasinska-Plociniczak, Lukasz Plociniczak:
Asymptotic Solution of a Boundary Value Problem for a Spring-Mass Model of Legged Locomotion. J. Nonlinear Sci. 30(6): 2971-2988 (2020) - 2019
- [j12]Lukasz Plociniczak:
Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. Commun. Nonlinear Sci. Numer. Simul. 76: 66-70 (2019) - [j11]Lukasz Plociniczak:
Numerical Method for the Time-Fractional Porous Medium Equation. SIAM J. Numer. Anal. 57(2): 638-656 (2019) - 2018
- [j10]Hanna Okrasinska-Plociniczak, Lukasz Plociniczak:
Numerical method for Volterra equation with a power-type nonlinearity. Appl. Math. Comput. 337: 452-460 (2018) - [j9]Michal Krawiec, Zbigniew Palmowski, Lukasz Plociniczak:
Quickest drift change detection in Lévy-type force of mortality model. Appl. Math. Comput. 338: 432-450 (2018) - 2017
- [j8]Lukasz Plociniczak, Szymon Sobieszek:
Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. Numer. Algorithms 76(1): 125-150 (2017) - 2016
- [j7]Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser:
Analysis of cornea curvature using radial basis functions - Part I: Methodology. Comput. Biol. Medicine 77: 274-284 (2016) - [j6]Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser:
Analysis of cornea curvature using radial basis functions - Part II: Fitting to data-set. Comput. Biol. Medicine 77: 285-296 (2016) - 2015
- [j5]Lukasz Plociniczak:
Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. Commun. Nonlinear Sci. Numer. Simul. 24(Issues): 169-183 (2015) - 2014
- [j4]Lukasz Plociniczak:
Eigenvalue asymptotics for a fractional boundary-value problem. Appl. Math. Comput. 241: 125-128 (2014) - [j3]Lukasz Plociniczak, Graham W. Griffiths, William E. Schiesser:
ODE/PDE analysis of corneal curvature. Comput. Biol. Medicine 53: 30-41 (2014) - [j2]Lukasz Plociniczak:
Approximation of the Erdélyi-Kober Operator with Application to the Time-Fractional Porous Medium Equation. SIAM J. Appl. Math. 74(4): 1219-1237 (2014) - 2013
- [j1]Wojciech Okrasinski, Lukasz Plociniczak:
Bessel function model of corneal topography. Appl. Math. Comput. 223: 436-443 (2013)
Informal and Other Publications
- 2024
- [i12]Lukasz Plociniczak, Marek A. Teuerle:
Fractional material derivative: pointwise representation and a finite volume numerical scheme. CoRR abs/2402.19015 (2024) - 2023
- [i11]Belén López, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Juan Rocha:
Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. CoRR abs/2303.01725 (2023) - [i10]Lukasz Plociniczak, Kacper Tazbierski:
Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. CoRR abs/2310.04246 (2023) - [i9]María López-Fernández, Lukasz Plociniczak:
Convolution Quadrature for the quasilinear subdiffusion equation. CoRR abs/2311.00081 (2023) - [i8]Félix del Teso, Lukasz Plociniczak:
Numerical methods and regularity properties for viscosity solutions of nonlocal in space and time diffusion equations. CoRR abs/2311.14317 (2023) - 2022
- [i7]Lukasz Plociniczak, Mateusz Switala:
Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. CoRR abs/2202.06156 (2022) - [i6]Lukasz Plociniczak:
Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. CoRR abs/2202.13728 (2022) - 2021
- [i5]Hanna Okrasinska-Plociniczak, Lukasz Plociniczak:
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. CoRR abs/2106.05138 (2021) - [i4]Lukasz Plociniczak:
Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. CoRR abs/2106.05140 (2021) - [i3]Lukasz Plociniczak:
A linear Galerkin numerical method for a strongly nonlinear subdiffusion equation. CoRR abs/2107.10057 (2021) - [i2]Lukasz Plociniczak:
On a discrete composition of the fractional integral and Caputo derivative. CoRR abs/2107.10489 (2021) - 2019
- [i1]Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak:
A weighted finite difference method for subdiffusive Black Scholes Model. CoRR abs/1907.00297 (2019)
Coauthor Index
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