Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Numerical methods for nonlocal and nonlinear parabolic equations

2020/38/E/ST1/00153

Keywords:

numerical method fractional Laplacian fractional derivative porous medium equation

Descriptors:

  • ST1_016:
  • ST1_017:
  • ST1_011:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Łukasz Stefan Płociniczak 

Number of co-investigators in the project: 5

Call: SONATA BIS 10 - announced on 2020-07-29

Amount awarded: 1 018 800 PLN

Project start date (Y-m-d): 2021-03-22

Project end date (Y-m-d): 2026-03-21

Project duration:: 60 months (the same as in the proposal)

Project status: Pending project

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (13)
  1. Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish
    Authors:
    Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
    Academic press:
    Applied Mathematics and Computation (rok: 2024, tom: 477, strony: 128798), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2024.128798 - link to the publication
  2. Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient
    Authors:
    Łukasz Płociniczak, Kacper Taźbierski
    Academic press:
    Computers and Mathematics with Applications (rok: 2024, tom: 165, strony: 217--223), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2024.04.032 - link to the publication
  3. Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data
    Authors:
    Łukasz Płociniczak
    Academic press:
    Computers and Mathematics with Applications (rok: 2022, tom: 127, strony: 181-191), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2022.09.028 - link to the publication
  4. Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line
    Authors:
    Hanna Okrasińska-Płociniczak, Łukasz Płociniczak
    Academic press:
    Applied Mathematics and Computation (rok: 2022, tom: 424C, strony: 127033), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2022.127033 - link to the publication
  5. From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme
    Authors:
    Łukasz Płociniczak, Marek Teuerle
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2024, tom: 139, strony: 108316), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2024.108316 - link to the publication
  6. Linear Galerkin-Legendre spectral scheme for a degenerate nonlinear and nonlocal parabolic equation arising in climatology
    Authors:
    Łukasz Płociniczak
    Academic press:
    Applied Numerical Mathematics (rok: 2022, tom: 179, strony: 105-124), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apnum.2022.04.016 - link to the publication
  7. Collocation method for a functional equation arising in behavioral sciences
    Authors:
    Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak, Kishin Sadarangani
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2024, tom: 458, strony: 116343), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2024.116343 - link to the publication
  8. Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces
    Authors:
    Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak, Kishin Sadarangani
    Academic press:
    Applied Numerical Mathematics (rok: 2025, tom: 212, strony: 268-282), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apnum.2025.02.010 - link to the publication
  9. A linear Galerkin numerical method for a quasilinear subdiffusion equation
    Authors:
    Łukasz Płociniczak
    Academic press:
    Applied Numerical Mathematics (rok: 2022, tom: 185, strony: 203-220), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apnum.2022.11.020 - link to the publication
  10. A note on the L1 discretization error for the Caputo derivative in Hölder spaces
    Authors:
    Felix del Teso, Łukasz Płociniczak
    Academic press:
    Applied Mathematics Letters (rok: 2025, tom: 161, strony: 109364), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2024.109364 - link to the publication
  11. On a discrete composition of the fractional integral and Caputo derivative
    Authors:
    Łukasz Płociniczak
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: 108, strony: 106234), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.106234 - link to the publication
  12. A linear Galerkin numerical method for a quasilinear subdiffusion equation
    Authors:
    Łukasz Płociniczak
    Academic press:
    Applied Mathematics and Computation (rok: 2022, tom: 185, strony: 203-220), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apnum.2022.11.020 - link to the publication
  13. Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods
    Authors:
    Belen Lopez, Juan Rocha, H. Okrasińską-Płociniczak, Ł. Płociniczak
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2023, tom: 128 (2024),, strony: 107692), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2023.107692 - link to the publication

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