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 |
|---|---|
| Pages (from-to) | 261-270 |
| Number of pages | 10 |
| Journal | Applied Mathematics and Computation |
| Volume | 121 |
| Issue number | 2-3 |
| DOIs | |
| Publication status | Published - 2001 Jun 15 |
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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 journal › Article
TY - JOUR
T1 - Two-dimensional differential transform for partial differential equations
AU - Jang, Ming Jyi
AU - Chen, Chieh-Li
AU - Liu, Yung Chin
PY - 2001/6/15
Y1 - 2001/6/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0035877251&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035877251&partnerID=8YFLogxK
U2 - 10.1016/S0096-3003(99)00293-3
DO - 10.1016/S0096-3003(99)00293-3
M3 - Article
VL - 121
SP - 261
EP - 270
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 2-3
ER -