Crank–Nicolson finite difference method for time-fractional coupled KdV equation

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.

Keywords:

• Crank–Nicolson finite difference
• Grünwald–Letnikov fractional derivative
• fractional coupled KdV equation

2010 Mathematics Subject Classifications:

• 65xx
• 35R1

Disclosure statement

No potential conflict of interest was reported by the authors.