Two-dimensional q-differential transformation and its application

被引：18
作者：
El-Shahed, Moustafa [1 ]
Gaber, Mohammed [2 ]
机构：
[1] Coll Educ, Qassim Unaizah, Saudi Arabia
[2] Suez Canal Univ, Fac Educ Al Arish, Suez, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期
关键词：
Two-dimensional q-differential transformation method; Partial q-differential equations; DIFFUSION; EQUATIONS;
D O I：
10.1016/j.amc.2011.03.152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The one-dimensional q-differential transformation was introduced in [8] for solving the ordinary q-differential equations. Here, we present the definition and operation of the two-dimensional q-differential transform. A distinctive feature of the q-differential transform is its ability to solve linear and nonlinear partial q-differential equations. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：9165 / 9172
页数：8
相关论文
共 17 条
  • [1] [Anonymous], INTRO PARTIAL DIFFER
  • [2] [Anonymous], 1999, UPPSALA INIV REP DEP
  • [3] On the two-dimensional differential transform method
    Ayaz, F
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) : 361 - 374
  • [4] Generalized diffusion equation
    Boon, Jean Pierre
    Lutsko, James F.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 368 (01) : 55 - 62
  • [5] Chen CK, 1999, APPL MATH COMPUT, V106, P171, DOI 10.1016/S0096-3003(98)10115-7
  • [6] OPERATOR METHODS FOR Q-IDENTITIES
    CIGLER, J
    [J]. MONATSHEFTE FUR MATHEMATIK, 1979, 88 (02): : 87 - 105
  • [7] GOLDMAN J, 1970, STUD APPL MATH, V49, P239
  • [8] Q-TAYLORS FORMULA WITH ITS Q-REMAINDER
    JING, SC
    FAN, HY
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1995, 23 (01) : 117 - 120
  • [9] Koekoek R., 1998, The Askey-Scheme of Hypergeometric Orthogonal Polynomials and its q-Analogue
  • [10] Koelink E., 1996, Rev. Colombiana Mat, V30, P93
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