Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Norhashidah Hj. Mohd Ali"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 15854-15880 (2022)
In recent years, fractional partial differential equations (FPDEs) have been viewed as powerful mathematical tools for describing ample phenomena in various scientific disciplines and have been extensively researched. In this article, the hybrid expl
Externí odkaz:
https://doaj.org/article/6b4381237ace48bf9f7fb5754235a2b4
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 2370-2392 (2022)
In this paper, a new modified hybrid explicit group (MHEG) iterative method is presented for the efficient and accurate numerical solution of a time-fractional diffusion equation in two space dimensions. The time fractional derivative is defined in t
Externí odkaz:
https://doaj.org/article/7860b2caa2b847e182175efb9a1359cc
Publikováno v:
Alexandria Engineering Journal, Vol 60, Iss 4, Pp 3553-3563 (2021)
In this article, a new high-order explicit group iterative scheme is developed for the solution of the two-dimensional time fractional cable equation. The proposed scheme is derived from the Crank-Nicolson (C-N) high-order compact finite difference m
Externí odkaz:
https://doaj.org/article/7fd14f0e63f544b4ad04baa831b718e9
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-22 (2020)
Abstract In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid. The proposed scheme is based on the high-order compact
Externí odkaz:
https://doaj.org/article/58fa5f4dd3474b45b823fae07e1f641d
Publikováno v:
International Journal of Mathematical, Engineering and Management Sciences, Vol 5, Iss 3, Pp 432-446 (2020)
In this paper, a hybrid method based on the Laplace transform and implicit finite difference scheme is applied to obtain the numerical solution of the two-dimensional time fractional advection-diffusion equation (2D-TFADE). Some of the major limitati
Externí odkaz:
https://doaj.org/article/e046b206582e4cbb94a5e39d980d2f4c
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-21 (2020)
Abstract In this article, an unconditionally stable compact high-order iterative finite difference scheme is developed on solving the two-dimensional fractional Rayleigh–Stokes equation. A relationship between the Riemann–Liouville (R–L) and Gr
Externí odkaz:
https://doaj.org/article/02eec16f6a1f4558a24245e41bd139ed
Publikováno v:
International Journal of Differential Equations, Vol 2018 (2018)
The objective of this paper is to obtain an approximate solution for some well-known linear and nonlinear two-point boundary value problems. For this purpose, a semianalytical method known as optimal homotopy asymptotic method (OHAM) is used. Moreove
Externí odkaz:
https://doaj.org/article/b2fe7d17966841a194c3584cbdedcd77
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
The construction of a specific splitting-type preconditioner in block formulation applied to a class of group relaxation iterative methods derived from the centred and rotated (skewed) finite difference approximations has been shown to improve the co
Externí odkaz:
https://doaj.org/article/2d83900483ea490182bc79510f05f1ad
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 2370-2392 (2022)
In this paper, a new modified hybrid explicit group (MHEG) iterative method is presented for the efficient and accurate numerical solution of a time-fractional diffusion equation in two space dimensions. The time fractional derivative is defined in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02005d79d4111bc75c763d9b983abb78
https://www.aimspress.com/article/doi/10.3934/math.2022134?viewType=HTML
https://www.aimspress.com/article/doi/10.3934/math.2022134?viewType=HTML
Publikováno v:
Journal of Mathematics and Computer Science. 23:110-123
It is time-memory consuming when numerically solving time fractional partial differential equations, as it requires O ( N 2 ) computational cost and O ( M N ) memory complexity with finite difference methods, where, N and M are the total number of ti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e2f749018ee6dff4c882d4dce026980
https://doi.org/10.22436/jmcs.023.02.04
https://doi.org/10.22436/jmcs.023.02.04