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

Shih Hsiang Chang, I-Ling Chang

研究成果: Article

82 引文 (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 二月 1

指紋

Nonlinear Function
Transform
Ordinary differential equations
Nonlinearity
Nonlinear Ordinary Differential Equations
Demonstrate
Form

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

引用此文

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