Adomian decomposition method for nonlinear differential-difference equations. (English) Zbl 1221.65209

Wu, Lei; Xie, Li-Dan; Zhang, Jie-Fang

Commun. Nonlinear Sci. Numer. Simul. 14, No. 1, 12-18 (2009).

Summary: We extend the Adomian decomposition method (ADM) to find the approximate solutions for the nonlinear differential-difference equations (NDDEs), such as the discretized mKdV lattice equation, the discretized nonlinear Schrödinger equation and the Toda lattice equation. By comparing the approximate solutions with the exact analytical solutions, we find the extend method for NDDEs is of good accuracy.

MSC:

65L99

Numerical methods for ordinary differential equations

Keywords:

Adomian decomposition method; discretized nonlinear equation

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