Lukasz Plociniczak

According to our database, Lukasz Plociniczak authored at least 28 papers between 2013 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods.

Belén López, Hanna Okrasinska-Plociniczak, Lukasz Plociniczak, Juan Rocha

Commun. Nonlinear Sci. Numer. Simul., January, 2024

Fractional material derivative: pointwise representation and a finite volume numerical scheme.

Lukasz Plociniczak, Marek A. Teuerle

CoRR, 2024

From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme.

Lukasz Plociniczak, Marek A. Teuerle

Commun. Nonlinear Sci. Numer. Simul., 2024

Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient.

Lukasz Plociniczak, Kacper Tazbierski

Comput. Math. Appl., 2024

Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish.

Josefa Caballero, Lukasz Plociniczak, Kishin B. Sadarangani

Appl. Math. Comput., 2024

2023

Numerical methods and regularity properties for viscosity solutions of nonlocal in space and time diffusion equations.

Félix del Teso, Lukasz Plociniczak

CoRR, 2023

Convolution Quadrature for the quasilinear subdiffusion equation.

María López-Fernández, Lukasz Plociniczak

CoRR, 2023

2022

Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method.

Lukasz Plociniczak, Mateusz Switala

CoRR, 2022

On a discrete composition of the fractional integral and Caputo derivative.

Lukasz Plociniczak

Commun. Nonlinear Sci. Numer. Simul., 2022

Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data.

Lukasz Plociniczak

Comput. Math. Appl., 2022

Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line.

Hanna Okrasinska-Plociniczak, Lukasz Plociniczak

Appl. Math. Comput., 2022

2021

A linear Galerkin numerical method for a strongly nonlinear subdiffusion equation.

Lukasz Plociniczak

CoRR, 2021

Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology.

Lukasz Plociniczak

CoRR, 2021

Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries.

Lukasz Plociniczak, Mateusz Switala

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

Asymptotic Solution of a Boundary Value Problem for a Spring-Mass Model of Legged Locomotion.

Hanna Okrasinska-Plociniczak, Lukasz Plociniczak

J. Nonlinear Sci., 2020

A weighted finite difference method for subdiffusive Black-Scholes model.

Grzegorz Krzyzanowski, Marcin Magdziarz, Lukasz Plociniczak

Comput. Math. Appl., 2020

2019

Numerical Method for the Time-Fractional Porous Medium Equation.

Lukasz Plociniczak

SIAM J. Numer. Anal., 2019

Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting.

Lukasz Plociniczak

Commun. Nonlinear Sci. Numer. Simul., 2019

2018

Numerical method for Volterra equation with a power-type nonlinearity.

Hanna Okrasinska-Plociniczak, Lukasz Plociniczak

Appl. Math. Comput., 2018

Quickest drift change detection in Lévy-type force of mortality model.

Michal Krawiec, Zbigniew Palmowski, Lukasz Plociniczak

Appl. Math. Comput., 2018

2017

Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator.

Lukasz Plociniczak, Szymon Sobieszek

Numer. Algorithms, 2017

2016

Analysis of cornea curvature using radial basis functions - Part II: Fitting to data-set.

Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser

Comput. Biol. Medicine, 2016

Analysis of cornea curvature using radial basis functions - Part I: Methodology.

Graham W. Griffiths, Lukasz Plociniczak, William E. Schiesser

Comput. Biol. Medicine, 2016

2015

Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications.

Lukasz Plociniczak

Commun. Nonlinear Sci. Numer. Simul., 2015

2014

Approximation of the Erdélyi-Kober Operator with Application to the Time-Fractional Porous Medium Equation.

Lukasz Plociniczak

SIAM J. Appl. Math., 2014

ODE/PDE analysis of corneal curvature.

Lukasz Plociniczak, Graham W. Griffiths, William E. Schiesser

Comput. Biol. Medicine, 2014

Eigenvalue asymptotics for a fractional boundary-value problem.

Lukasz Plociniczak

Appl. Math. Comput., 2014

2013

Bessel function model of corneal topography.

Wojciech Okrasinski, Lukasz Plociniczak

Appl. Math. Comput., 2013