Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method

Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method

This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method. By the iterative process, we can obtain the analyticsolution of the fourth-order time-fractional Boussinesq equation in R , R 2 , and R n , the sixth-ord...

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Veröffentlicht in:Advances in Mathematical Physics 2015-01, Vol.2015 (2015), p.498-504
Hauptverfasser: Xu, Fei, Zhang, Weipeng, Gao, Yixian
Format: Artikel
Sprache:eng
Schlagworte:
Boussinesq equations
Calculus
Construction
Control theory
Differential equations
Exact solutions
Iterative methods
Iterative methods (Mathematics)
Mathematical analysis
Mechanics
Methods
Nonlinearity
Wave equation
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Zusammenfassung:This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method. By the iterative process, we can obtain the analyticsolution of the fourth-order time-fractional Boussinesq equation in R , R 2 , and R n , the sixth-order time-fractional Boussinesq equation, and the 2 n th-order time-fractional Boussinesq equation in R . Through these examples, it shows that the method is simple and effective.
ISSN:1687-9120
1687-9139
DOI:10.1155/2015/506140