Two-dimensional differential transform for partial differential equations

Ming Jyi Jang, Chieh Li Chen, Yung Chin Liu

研究成果: Article同行評審

207 引文 斯高帕斯(Scopus)

摘要

The differential transform is a numerical method for solving differential equations. In this paper, we present the definition and operation of the two-dimensional differential transform. A distinctive feature of the differential transform is its ability to solve linear and nonlinear differential equations. Partial differential equation of parabolic, hyperbolic, elliptic and nonlinear types can be solved by the differential transform. We demonstrate that the differential transform is a feasible tool for obtaining the analytic form solutions of linear and nonlinear partial differential equation.

原文English
頁(從 - 到)261-270
頁數10
期刊Applied Mathematics and Computation
121
發行號2-3
DOIs
出版狀態Published - 2001 六月 15

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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