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

  • Authors

    • Birol Ibis Turkish Air Force Academy
    • Mustafa Bayram Y?ld?z Technical University
    2012-07-01
    https://doi.org/10.14419/ijamr.v1i3.112
  • 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

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  • 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

    Received date: 2012-06-12

    Accepted date: 2012-06-26

    Published date: 2012-07-01