Two-dimensional differential transform for partial differential equations

Ming Jyi Jang, Chieh-Li Chen, Yung Chin Liu

Research output: Contribution to journalArticle

200 Citations (Scopus)

Abstract

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.

Original language English 261-270 10 Applied Mathematics and Computation 121 2-3 https://doi.org/10.1016/S0096-3003(99)00293-3 Published - 2001 Jun 15

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Partial differential equations
Differential equations
Partial differential equation
Transform
Numerical methods
Linear partial differential equation
Nonlinear Partial Differential Equations
Linear differential equation
Nonlinear Differential Equations
Numerical Methods
Differential equation
Demonstrate

All Science Journal Classification (ASJC) codes

• Applied Mathematics
• Computational Mathematics
• Numerical Analysis

Cite this

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Two-dimensional differential transform for partial differential equations. / Jang, Ming Jyi; Chen, Chieh-Li; Liu, Yung Chin.

In: Applied Mathematics and Computation, Vol. 121, No. 2-3, 15.06.2001, p. 261-270.

Research output: Contribution to journalArticle

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