Two-dimensional differential transform for partial differential equations

Ming Jyi Jang; Chieh Li Chen; Yung Chin Liu

doi:10.1016/S0096-3003(99)00293-3

Two-dimensional differential transform for partial differential equations

Ming Jyi Jang, Chieh Li Chen, Yung Chin Liu

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

206 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
Pages (from-to)	261-270
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	121
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(99)00293-3
Publication status	Published - 2001 Jun 15

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0096-3003(99)00293-3

Fingerprint Dive into the research topics of 'Two-dimensional differential transform for partial differential equations'. Together they form a unique fingerprint.

Cite this

@article{3d9e299350654520b7f6d5bda73a1301,

title = "Two-dimensional differential transform for partial differential equations",

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.",

author = "Jang, {Ming Jyi} and Chen, {Chieh Li} and Liu, {Yung Chin}",

year = "2001",

month = jun,

day = "15",

doi = "10.1016/S0096-3003(99)00293-3",

language = "English",

volume = "121",

pages = "261--270",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2-3",

}

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

AN - SCOPUS:0035877251

VL - 121

SP - 261

EP - 270

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 2-3

ER -