A new algorithm for calculating one-dimensional differential transform of nonlinear functions

Shih Hsiang Chang, I-Ling Chang

研究成果: Article同行評審

94 引文 斯高帕斯(Scopus)

摘要

A new technique for calculating the one-dimensional differential transform of nonlinear functions is developed in this paper. This new technique avoids the difficulties and massive computational work that usually arise from the standard method. The algorithm will be illustrated by studying suitable forms of nonlinearity. Several nonlinear ordinary differential equations, including Troesch's and Bratu-type problems, are then solved to demonstrate the reliability and efficiency of the proposed scheme. The present algorithm offers a computationally easier approach to compute the transformed function for all forms of nonlinearity. This gives the technique much wider applicability.

原文English
頁(從 - 到)799-808
頁數10
期刊Applied Mathematics and Computation
195
發行號2
DOIs
出版狀態Published - 2008 2月 1

All Science Journal Classification (ASJC) codes

  • 計算數學
  • 應用數學

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