Solution of Moving Boundary Space-Time Fractional Burger's Equation

被引：17

作者：

Abdel-Salam, E. A-B ^{[1
,2
]}

Yousif, E. A. ^{[2
,3
]}

Arko, Y. A. S. ^{[2
,4
]}

Gumma, E. A. E. ^{[2
,5
]}

机构：

[1] Assiut Univ, Fac Sci, Dept Math, New Valley Branch, El Kharja 72511, Egypt

[2] Northern Border Univ, Dept Math, Fac Sci, Ar Ar 91431, Saudi Arabia

[3] Univ Khartoum, Fac Math Sci, Dept Appl Math, Khartoum 11111, Sudan

[4] Sudan Univ Sci & Technol, Fac Sci, Dept Math, Khartoum 11115, Sudan

[5] Int Univ Africa, Fac Appl & Pure Sci, Dept Math, Khartoum 14415, Sudan

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; FINITE-ELEMENT ALGORITHM; NUMERICAL-SOLUTION; WAVE SOLUTIONS; CALCULUS; FLOW; KDV;

D O I：

10.1155/2014/218092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger's equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time. The linear and periodic moving boundaries for the kink solution of the Burger's equation are presented graphically and discussed.

引用

页数：8

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