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

Shih Hsiang Chang; I-Ling Chang

doi:10.1016/j.amc.2009.08.046

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

Shih Hsiang Chang, I-Ling Chang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

A new algorithm for calculating the two-dimensional differential transform of nonlinear functions is developed in this paper. This new technique is illustrated by studying suitable forms of nonlinearity. Three strongly nonlinear partial differential equations are then solved by differential transform method to demonstrate the validity and applicability of the proposed algorithm. The present framework offers a computationally easier approach to compute the transformed function for all forms of nonlinearity. This gives the technique much wider applicability.

Original language	English
Pages (from-to)	2486-2494
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	215
Issue number	7
DOIs	https://doi.org/10.1016/j.amc.2009.08.046
Publication status	Published - 2009 Dec 1

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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

Abstract

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