A new implicit high-order iterative scheme for the numerical simulation of the two-dimensional time fractional Cable equation

被引：0
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作者：
Muhammad Asim Khan
Norma Alias
Ilyas Khan
Fouad Mohammad Salama
Sayed M. Eldin
机构：
[1] Universiti Teknologi Malaysia,Department of Mathematical Sciences, Faculty of Science
[2] Majmaah University,Department of Mathematics, College of Science Al
[3] King Fahd University of Petroleum and Minerals,Zulfi
[4] Future University in Egypt,Department of Mathematics
来源：
Scientific Reports | / 13卷 / 1期
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摘要：
In this article, we developed a new higher-order implicit finite difference iterative scheme (FDIS) for the solution of the two dimension (2-D) time fractional Cable equation (FCE). In the new proposed FDIS, the time fractional and space derivatives are discretized using the Caputo fractional derivative and fourth-order implicit scheme, respectively. Moreover, the proposed scheme theoretical analysis (convergence and stability) is also discussed using the Fourier analysis method. Finally, some numerical test problems are presented to show the effectiveness of the proposed method.
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