Solving Fractional Partial Differential Equations with Variable Coefficients by the Reconstruction of Variational Iteration Method
2015 ◽
Vol 70
(5)
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pp. 375-382
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Keyword(s):
AbstractIn this article, we propose a new approach for solving fractional partial differential equations with variable coefficients, which is very effective and can also be applied to other types of differential equations. The main advantage of the method lies in its flexibility for obtaining the approximate solutions of time fractional and space fractional equations. The fractional derivatives are described based on the Caputo sense. Our method contains an iterative formula that can provide rapidly convergent successive approximations of the exact solution if such a closed form solution exists. Several examples are given, and the numerical results are shown to demonstrate the efficiency of the newly proposed method.
2014 ◽
Vol 2014
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pp. 1-8
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2015 ◽
Vol 2015
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pp. 1-10
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2014 ◽
Vol 2014
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pp. 1-8
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2007 ◽
Vol 54
(7-8)
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pp. 910-919
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2016 ◽
Vol 307
◽
pp. 243-261
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2009 ◽
Vol 40
(3)
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pp. 1520-1529
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