5
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method

      Preprint
      , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In this work, an effective numerical method is developed to solve a class of singular boundary value problems arising in various physical models by using the improved differential transform method (IDTM). The IDTM applies the Adomian polynomials to handle the differential transforms of the nonlinearities arising in the given differential equation. The relation between the Adomian polynomials of those nonlinear functions and the coefficients of unknown truncated series solution is given by a simple formula, through which one can easily deduce the approximate solution which takes the form of a convergent series. An upper bound for the estimation of approximate error is presented. Several physical problems are discussed as illustrative examples to testify the validity and applicability of the proposed method. Comparisons are made between the present method and the other existing methods.

          Related collections

          Author and article information

          Journal
          19 January 2016
          Article
          1601.04922
          4dbfe6a5-86ab-4b73-9742-9bc8936a532a

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          21 pages, 4 figures
          math.NA

          Comments

          Comment on this article