Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Vladimir G. Pimenov"'
Autor:
Vladimir G. Pimenov, Ahmed S. Hendy
Publikováno v:
Ural Mathematical Journal, Vol 2, Iss 1 (2016)
For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence is obtained. The method is a fractional analogue of the Crank–Nicholson method, and al
Externí odkaz:
https://doaj.org/article/0b5b2c0f7f9f4073ac0242303203ad51
Publikováno v:
Siberian Electronic Mathematical Reports
The problem to be considered is a numerical solving of nonlinear partial differential equations with heredity effect. Nonlinearity is contained in the operator of differentiation as well as in the inhomogeneity function. We propose a nonlinear implic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62e0a6969525dbed9dd88016d120b420
https://doi.org/10.33048/semi.2019.16.110
https://doi.org/10.33048/semi.2019.16.110
Publikováno v:
Mathematical Analysis With Applications ISBN: 9783030421755
We construct a Crank–Nicolson numerical algorithm for nonlinear initial-boundary value problem of parabolic type complicated by heredity effect. Nonlinearity is present in the partial differential operator as well as in the inhomogeneity function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc3dd6fc2a91c08222fcf05c744cdd56
https://doi.org/10.1007/978-3-030-42176-2_4
https://doi.org/10.1007/978-3-030-42176-2_4
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030563226
A fractional differential equation in partial derivatives with non-linearity in differentiation operator is considered. We developed a numerical method which has the second order of convergence in time and first order in space and could be considered
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51870e2f898b5fff89ce03776b3fa0ca
https://doi.org/10.1007/978-3-030-56323-3_50
https://doi.org/10.1007/978-3-030-56323-3_50
Publikováno v:
Numerical Methods for Partial Differential Equations
A class of one-dimensional time-fractional parabolic differential equations with delay effects of functional type in the time component is numerically investigated in this work. To that end, a compact difference scheme is constructed for the numerica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3d67ffd138edcabcceed56b47447bde
http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85070294272
http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85070294272
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 96:105672
Due to the lack of a discrete fractional Gronwall-type inequality, the techniques of analyzing the L 2 − 1 σ difference schemes would not be correct to apply directly to the nonlinear multi-term fractional subdiffusion equations with time delay, e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb2d88f40fa7c32789137ed456bd5092
https://doi.org/10.1016/j.cnsns.2020.105672
https://doi.org/10.1016/j.cnsns.2020.105672