Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Ahmed Z. M. Amin"'
Publikováno v:
Fractal and Fractional, Vol 6, Iss 1, p 19 (2021)
We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions. Using the Riemann–Liouville fractional int
Externí odkaz:
https://doaj.org/article/c5eb1ac34c544923880790047a65617b
Autor:
Mohamed A. Abdelkawy, Ahmed Z. M. Amin, Mohammed M. Babatin, Abeer S. Alnahdi, Mahmoud A. Zaky, Ramy M. Hafez
Publikováno v:
Fractal and Fractional, Vol 5, Iss 3, p 115 (2021)
In this paper, we introduce a numerical solution for the time-fractional inverse heat equations. We focus on obtaining the unknown source term along with the unknown temperature function based on an additional condition given in an integral form. The
Externí odkaz:
https://doaj.org/article/90e67934ee2c482e80e142286ab086d4
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation. 24:421-435
This paper addresses the numerical solution of multi-dimensional variable-order fractional Gross–Pitaevskii equations (VOF-GPEs) with initial and boundary conditions. A new scheme is proposed based on the fully shifted fractional Jacobi collocation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4aa3acc570c57d03ea48125b078b0912
https://doi.org/10.1515/ijnsns-2021-0018
https://doi.org/10.1515/ijnsns-2021-0018
Publikováno v:
Engineering with Computers. 38:1363-1373
This paper presents a spectral collocation technique to solve fractional stochastic Volterra integro-differential equations (FSV-IDEs). The algorithm is based on shifted fractional order Legendre orthogonal functions generated by Legendre polynomials
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5afda0266e1300197d4d7fcfe2abcb0d
https://doi.org/10.1007/s00366-020-01263-w
https://doi.org/10.1007/s00366-020-01263-w
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 72:342-359
A new shifted Jacobi–Gauss-collocation (SJ-G-C) algorithm is presented for solving numerically several classes of fractional integro-differential equations (FI-DEs), namely Volterra, Fredholm and systems of Volterra FI-DEs, subject to initial and n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e81c7361db1760353055aaa4dce60703
https://doi.org/10.1016/j.cnsns.2019.01.005
https://doi.org/10.1016/j.cnsns.2019.01.005
Publikováno v:
Nonlinear Analysis, Vol 24, Iss 3 (2019)
This article addresses the solution of multi-dimensional integro-differential equations (IDEs) by means of the spectral collocation method and taking the advantage of the properties of shifted Jacobi polynomials. The applicability and accuracy of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61c10bffd74bc145120c4c0bea28ae1a
https://doi.org/10.15388/na.2019.3.2
https://doi.org/10.15388/na.2019.3.2
Publikováno v:
Computational and Applied Mathematics. 37:6212-6229
In this paper, we propose an efficient spectral numerical method for solving sine and Klein–Gordon nonlinear variable-order fractional differential equations with the initial and Dirichlet boundary conditions. The approach is based on the shifted L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab8aff53dd10f6facb22227a73a7130c
https://doi.org/10.1007/s40314-018-0695-2
https://doi.org/10.1007/s40314-018-0695-2
Publikováno v:
Computational and Applied Mathematics. 37:3937-3950
This paper applies the shifted Jacobi–Gauss collocation (SJ–G-C) method for solving variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The Riemann–Liouville fractional derivative, $$D^{\nu (x)}$$ , and i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c92348af33bfa3245f79f3bdaf29cf8
https://doi.org/10.1007/s40314-017-0551-9
https://doi.org/10.1007/s40314-017-0551-9
Publikováno v:
Numerical Methods for Partial Differential Equations. 34:1659-1677
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0cea839835c7bd00d418d3b73016fb8
https://doi.org/10.1002/num.22233
https://doi.org/10.1002/num.22233
Autor:
António M. Lopes, José António Tenreiro Machado, Ali H. Bhrawy, Mohamed A. Abdelkawy, Ahmed Z. M. Amin
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation. 18:411-425
This paper addresses the solution of one- and two-dimensional Volterra integral equations (VIEs) by means of the spectral collocation method. The novel technique takes advantage of the properties of shifted Jacobi polynomials and is applied for solvi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5bdcbcf925b625eb86807b7629be419
https://doi.org/10.1515/ijnsns-2016-0160
https://doi.org/10.1515/ijnsns-2016-0160