Author:
Khan Muhammad Asim,Alias Norma,Khan Ilyas,Salama Fouad Mohammad,Eldin Sayed M.
Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Reference32 articles.
1. Kb, O. ldham (The fractional Calculus ( Academic Press, New York, J. S panier, 1974).
2. Khan, M.A., Akbar, M.A., & binti Abd Hamid, NN. Traveling wave solutions for space-time fractional cahn hilliard equation and space-time fractional symmetric regularized long-wave equation. Alex. Eng. J. 60, 1317–1324 (2021)
3. Du, R., Cao, W. & Sun, Z. Appl. Math. Model. 10, 2998–3007 (2010).
4. Miller, K.S., & Ross, B. An introduction to the fractional calculus and fractional differential equations (Wiley, 1993)
5. Khan, M.A., Ali, N.H.M., & Abd Hamid, N.N. The design of new high-order group iterative method in the solution of two-dimensional fractional cable equation. Alex. Eng. J. 60, 3553–3563 (2021)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献