Approximate solutions some nonlinear evolutions equations by using the reduced differential transform method

Authors

  • Birol Ibis Turkish Air Force Academy image/svg+xml
  • Mustafa Bayram Y?ld?z Technical University

DOI:

https://doi.org/10.14419/ijamr.v1i3.112

Published

01-07-2012

Keywords:

Reduced Differential Transform Method(RDTM), Korteweg–de Vries Burgers' (KdVB) equation, Drinefel’d–Sokolov–Wilson equations, coupled Burgers equations and modified Boussinesq equation

Abstract

In this paper, the reduced differential transform method (RDTM) is applied to various nonlinear evolution equations, Kortewegde Vries Burgers' (KdVB) equation, DrinefeldSokolovWilson equations, coupled Burgers equations and modified Boussinesq equation. Approximate solutions obtained by the RDTM are compared with the exact solutions. The present results are in good agreement with the exact solutions. Comparisons show that the RDTM is capable of solving effectively a large number of nonlinear evolution equations with high accuracy.

 

Author Biographies

  • Birol Ibis, Turkish Air Force Academy
    Department of Main Sciences, Dr.
  • Mustafa Bayram, Y?ld?z Technical University
    Department of Mathematics Engineering

How to Cite

Ibis, B., & Bayram, M. (2012). Approximate solutions some nonlinear evolutions equations by using the reduced differential transform method. International Journal of Applied Mathematical Research, 1(3), 288-302. https://doi.org/10.14419/ijamr.v1i3.112

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