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

Fei Xu, Yixian Gao and Weipeng Zhang

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: 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 analytic solution of the fourth‐order time‐fractional Boussinesq equation in R, R2, and Rn, the sixth‐order time‐fractional Boussinesq equation, and the 2nth‐order time‐fractional Boussinesq equation in R. Through these examples, it shows that the method is simple and effective.

Date: 2015
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https://doi.org/10.1155/2015/506140

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:506140

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