Lukasz Plociniczak

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 29

Top Topics

Diffusion Equation

Numerical Scheme

Finite Difference

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Comput. Math. Appl.

Publications

Lukasz Plociniczak, Kacper Tazbierski
Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. Comput. Math. Appl. 165 (2024)
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 (2024)
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 (2024)
Lukasz Plociniczak, Marek A. Teuerle
Fractional material derivative: pointwise representation and a finite volume numerical scheme. CoRR (2024)
Félix del Teso, Lukasz Plociniczak
Numerical methods and regularity properties for viscosity solutions of nonlocal in space and time diffusion equations. CoRR (2023)
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 (2023)
María López-Fernández, Lukasz Plociniczak
Convolution Quadrature for the quasilinear subdiffusion equation. CoRR (2023)
Lukasz Plociniczak, Kacper Tazbierski
Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient. CoRR (2023)
Lukasz Plociniczak, Mateusz Switala
Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. CoRR (2022)
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 (2022)
Lukasz Plociniczak
Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. Comput. Math. Appl. 127 (2022)
Lukasz Plociniczak
Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. CoRR (2022)
Lukasz Plociniczak
On a discrete composition of the fractional integral and Caputo derivative. Commun. Nonlinear Sci. Numer. Simul. 108 (2022)
Hanna Okrasinska-Plociniczak, Lukasz Plociniczak
Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line. CoRR (2021)
Lukasz Plociniczak
Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology. CoRR (2021)
Lukasz Plociniczak, Mateusz Switala
Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries. Commun. Nonlinear Sci. Numer. Simul. 96 (2021)
Lukasz Plociniczak
A linear Galerkin numerical method for a strongly nonlinear subdiffusion equation. CoRR (2021)
Lukasz Plociniczak
On a discrete composition of the fractional integral and Caputo derivative. CoRR (2021)
Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak
A weighted finite difference method for subdiffusive Black-Scholes model. Comput. Math. Appl. 80 (5) (2020)
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) (2020)
Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak
A weighted finite difference method for subdiffusive Black Scholes Model. CoRR (2019)
Lukasz Plociniczak
Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. Commun. Nonlinear Sci. Numer. Simul. 76 (2019)
Lukasz Plociniczak
Numerical Method for the Time-Fractional Porous Medium Equation. SIAM J. Numer. Anal. 57 (2) (2019)
Michal Krawiec, Zbigniew Palmowski, Lukasz Plociniczak
Quickest drift change detection in Lévy-type force of mortality model. Appl. Math. Comput. 338 (2018)
Hanna Okrasinska-Plociniczak, Lukasz Plociniczak
Numerical method for Volterra equation with a power-type nonlinearity. Appl. Math. Comput. 337 (2018)
Lukasz Plociniczak, Szymon Sobieszek
Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. Numer. Algorithms 76 (1) (2017)
Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser
Analysis of cornea curvature using radial basis functions - Part I: Methodology. Comput. Biol. Medicine 77 (2016)
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 (2016)
Lukasz Plociniczak
Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications. Commun. Nonlinear Sci. Numer. Simul. 24 (Issues) (2015)
Lukasz Plociniczak, Graham W. Griffiths, William E. Schiesser
ODE/PDE analysis of corneal curvature. Comput. Biol. Medicine 53 (2014)
Lukasz Plociniczak
Eigenvalue asymptotics for a fractional boundary-value problem. Appl. Math. Comput. 241 (2014)
Lukasz Plociniczak
Approximation of the Erdélyi-Kober Operator with Application to the Time-Fractional Porous Medium Equation. SIAM J. Appl. Math. 74 (4) (2014)
Wojciech Okrasinski, Lukasz Plociniczak
Bessel function model of corneal topography. Appl. Math. Comput. 223 (2013)