A numerical solution of second-order linear partial differential equations by differential transform

被引：14

作者：

Yang, XF ^{[1
]}

Liu, YX

Bai, S

机构：

[1] Chongqing Univ, Dept Comp Sci & Technol, Chongqing 400044, Peoples R China

[2] Chongqing Commun Inst, Grad Educ Div, Chongqing 400035, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 173卷 / 02期

关键词：

partial differential equation; second-order linear partial differential equation; differential transform; two-dimensional differential transform;

D O I：

10.1016/j.amc.2005.04.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-dimensional differential transform provides an effective tool to numerically solve partial differential equations. In this paper, we propose a general numerical solution of second-order linear partial differential equations using two-dimensional differential transform. Numerical examples justify the proposed scheme. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：792 / 802

页数：11

共 50 条

[41] Focal points and second-order linear differential equations
[J]. Appl Math Comput (New York), 2-3 (203):
[42] Rigid systems of second-order linear differential equations
García-Planas, MI
Magret, MD
Sergeichuk, VV
Zharko, NA
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 414 (2-3) : 517 - 532
[43] Rectifiable oscillations in second-order linear differential equations
Kwong, Man Kam
Pasic, Mervan
Wong, James S. W.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (08) : 2333 - 2351
[44] NUMERICAL SOLUTION OF SECOND-ORDER LINEAR DIFFERENCE EQUATIONS
OLVER, FWJ
[J]. JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1967, B 71 (2-3): : 111 - +
[45] A generalized differential transform method for linear partial differential equations of fractional order
Odibat, Zaid
Momani, Shaher
[J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (02) : 194 - 199
[46] BOUNDEDNESS OF A CLASS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS AND SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
温立志
[J]. Science Bulletin, 1985, (08) : 1005 - 1008
[47] The differential linear equations of the second order at periodic solution
Bocher, M
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1905, 140 : 928 - 931
[48] Error analysis of the Chebyshev collocation method for linear second-order partial differential equations
Yuksel, Gamze
Isik, Osman Rasit
Sezer, Mehmet
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (10) : 2121 - 2138
[49] REPRESENTATION THEOREMS AND FATOU THEOREMS FOR SECOND-ORDER LINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
JOHNSON, R
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1971, 23 (OCT) : 325 - &
[50] A New Matrix Approach For Solving Second-Order Linear Matrix Partial Differential Equations
Tohidi, Emran
Zak, Mohammad Khorsand
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1353 - 1376

← 1 2 3 4 5 →