Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Norhashidah Hj. Mohd. Ali"'
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-20 (2020)
Abstract In this paper, the development of new hybrid group iterative methods for the numerical solution of a two-dimensional time-fractional cable equation is presented. We use Laplace transform method to approximate the time fractional derivative w
Externí odkaz:
https://doaj.org/article/28121cddbe9c46be9dd40cfa6b6c4ee8
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-18 (2019)
Abstract The (2+1) $(2+1)$-dimensional Chaffee–Infante equation and the dimensionless form of the Zakharov equation have widespread scopes of function in science and engineering fields, such as in nonlinear fiber optics, the waves of electromagneti
Externí odkaz:
https://doaj.org/article/b954d1ae278e4db8942cf940285bec83
Autor:
Ajmal Ali, Norhashidah Hj. Mohd. Ali
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-29 (2019)
Abstract This paper presents the development of a new iterative method for solving the two-dimensional hyperbolic telegraph fractional differential equation (2D-HTFDE) which is central to the mathematical modeling of transmission line satisfying cert
Externí odkaz:
https://doaj.org/article/b854087ff26d4e1db11a6535ba3dc218
Publikováno v:
AIMS Mathematics, Vol 4, Iss 3, Pp 397-411 (2019)
Nonlinear evolution equations (NLEEs) of fractional order play important role to explain the inner mechanisms of complex phenomena in various fields of the real world. In this article, nonlinear evolution equations of fractional order; namely, the (3
Externí odkaz:
https://doaj.org/article/b63d6b72dbb047b3a873c9dbe74bbbcb
Publikováno v:
Results in Physics, Vol 9, Iss , Pp 1031-1039 (2018)
In this article, we investigate the exact traveling wave solutions of two nonlinear time fractional wave equations. The fractional derivatives are described in the sense of conformable fractional derivatives. In addition, the traveling wave solutions
Externí odkaz:
https://doaj.org/article/24b154b9545e4dd4a3deb22db39ab22d
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://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:
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://explore.openaire.eu/search/publication?articleId=doi_dedup___::4937572cfcadd449784ca2ae1c0a26d4
http://www.sciencedirect.com/science/article/pii/S1110016821000119
http://www.sciencedirect.com/science/article/pii/S1110016821000119
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
Publikováno v:
Journal of King Saud University - Science. 32:2777-2785
The perturbed Boussinesq equation and the KdV-Caudrey-Dodd-Gibbon equation describe the characteristics of longitudinal waves in bars, long water waves, plasma waves, quantum mechanics, acoustic waves, nonlinear optics etc. Thus, the mentioned equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::228aede361cc206e800e3685ffe929f1
https://doi.org/10.1016/j.jksus.2020.06.014
https://doi.org/10.1016/j.jksus.2020.06.014