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    • Direct approach for solving nonlinear evolution and two-point boundary value problems

      Jonu Lee Rathinasamy Sakthivel

      Volume 81 Issue 6 December 2013 pp 893-909

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/06/0893-0909

    • Keywords

       

      Differential transform method; series solutions; time-delayed Burgers equation; boundary value problems.

    • Abstract

       

      Time-delayed nonlinear evolution equations and boundary value problems have a wide range of applications in science and engineering. In this paper, we implement the differential transform method to solve the nonlinear delay differential equation and boundary value problems. Also, we present some numerical examples including time-delayed nonlinear Burgers equation to illustrate the validity and the great potential of the differential transform method. Numerical experiments demonstrate the use and computational efficiency of the method. This method can easily be applied to many nonlinear problems and is capable of reducing the size of computational work.

    • Author Affiliations

       

      Jonu Lee1 Rathinasamy Sakthivel2

      1. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
      2. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea

    • Dates

       
      Published
      December 2013
      Manuscript received
      26 December 2011
      Manuscript revised
      11 January 2013
      Accepted
      7 October 2013
      Early published
      1 December 2013

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