Crank–Nicolson finite difference method for time-fractional coupled KdV equation. Issue 12 (2nd December 2021)

• Record Type: Journal Article
• Authors: Kawala, A.M.; Abdelaziz, H. K.
• Is Part Of: International journal of computer mathematics. Volume 98:Issue 12(2021)
• Page Start: 2564
• Page End: 2575
• Publication Date: 2021-12-02
• Subjects: Crank–Nicolson finite difference -- Grünwald–Letnikov fractional derivative -- fractional coupled KdV equation; 65xx -- 35R1; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2021.1906422
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : A Crank–Nicolson finite difference method is presented to solve a system of time fractional coupled Korteweg–de Vries (KdV) equation, the Grünwald–Letnikov definition is used for the time-fractional derivative. The approximation solutions for some numerical examples by the proposed method clarify that the method is applicable, simple and efficient for such problems.