A nonstandard numerical method for the modified KdV equation

AYDIN A., KÖROĞLU C.

PRAMANA-JOURNAL OF PHYSICS, vol.89, no.5, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.1007/s12043-017-1473-1
  • Journal Name: PRAMANA-JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hacettepe University Affiliated: Yes

Abstract

A linearly implicit nonstandard finite difference method is presented for the numerical solution of modified Korteweg-de Vries equation. Local truncation error of the scheme is discussed. Numerical examples are presented to test the efficiency and accuracy of the scheme.