Nonlinear anomalous diffusion equation. Existence, uniqueness, asymptotics and numerical methods
2015/17/D/ST1/00625
Keywords
Descriptors
- ST1_11: Równania różniczkowe cząstkowe
- ST1_18: Zastosowania matematyki w innych naukach
- ST1_16: Analiza numeryczna i obliczenia naukowe
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, Wydział Matematyki
Voivodeship: dolnośląskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
SONATA 9 – announced on 2015-03-16
- Amount awarded
- 152 000 PLN
- Project start date
- 2016-03-15
- Project end date
- 2018-09-14
- Project duration
- 30 months (the same as in the proposal)
- Project status
- Project settled
Project description
Download the project description in a pdf file
Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Equipment purchased [PL]
- Komputer przenośny (laptop). Cost: 6 000 PLN
- Tablet. Cost: 2 000 PLN
Information in the final report
Publication in academic press/journals (5)
-
Numerical schemes for integro-differential equations with Erdelyi-Kober fractional operator
- Authors:
- Łukasz Płociniczak, Szymon Sobieszek
- Academic press:
- Numerical Algorithms (year: 2017, volume: 76(1), pages: 125-150), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11075-016-0247-z – link to the publication
-
Numerical method for a time-fractional porous medium equation
- Authors:
- Łukasz Płociniczak
- Academic press:
- SIAM Journal on Numerical Analysis (year: 2019, volume: 57(2), pages: 638–656), Publisher: SIAM
- Status:
- Published
- DOI:
- 10.1137/18M1192561 – link to the publication
-
Diffusivity identification in a nonlinear time-fractional diffusion equation
- Authors:
- Łukasz Płociniczak
- Academic press:
- Fractional Calculus and Applied Analysis (year: 2016, volume: 19(4), pages: 843-866), Publisher: De Gruyter
- Status:
- Published
- DOI:
- 10.1515/fca-2016-0046 – link to the publication
-
Numerical method for Volterra equation with a power-type nonlinearity
- Authors:
- Ł.Płociniczak, H. Okrasińska-Płociniczak
- Academic press:
- Applied Mathematics and Computation (year: 2018, volume: 337, pages: 452-460), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.amc.2018.05.036 – link to the publication
-
Existence and uniqueness results for a time-fractional nonlinear diffusion equation
- Authors:
- Łukasz Płociniczak, Mateusz Świtała
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2018, volume: 462(2), pages: 1425-1434), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2018.02.050 – link to the publication