The Combined Laplace-Variational Iteration Method for Partial Differential Equations
2013 ◽
Vol 14
(2)
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Keyword(s):
AbstractIn this paper, the Laplace transform Variational Iteration Method (LVIM) is employed to obtain approximate analytical solutions of the linear and nonlinear partial differential equations. This method is a combined form of the Laplace transform method and the Variational Iteration Method. The proposed scheme, finds the solutions without any discretization or restrictive assumptions and is free from round-off errors and therefore, reduces the numerical computations to a great extent. Some illustrative examples are presented and the numerical results show that the solutions of the LVIM are in good agreement with the exact solution.
2007 ◽
Vol 54
(7-8)
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pp. 910-919
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2018 ◽
Vol 1
(1)
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pp. 102-108
2009 ◽
Vol 40
(3)
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pp. 1520-1529
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2017 ◽
Vol 5
(2)
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pp. 45-50
2006 ◽
Vol 83
(12)
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pp. 973-987
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2016 ◽
Vol 5
(1)
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pp. 86
2018 ◽
Vol 1
(2)
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pp. 113-120
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