He-Laplace Method for Linear and Nonlinear Partial Differential Equations
Keyword(s):
A new treatment for homotopy perturbation method is introduced. The new treatment is called He-Laplace method which is the coupling of the Laplace transform and the homotopy perturbation method using He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The method is implemented on linear and nonlinear partial differential equations. It is found that the proposed scheme provides the solution without any discretization or restrictive assumptions and avoids the round-off errors.
2007 ◽
Vol 365
(5-6)
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pp. 345-350
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2009 ◽
Vol 26
(6)
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pp. 1581-1593
2013 ◽
Vol 14
(7-8)
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2013 ◽
Vol 03
(03)
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pp. 317-323
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2016 ◽
Vol 05
(05)
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pp. 404-408
2011 ◽
Vol 23
(1)
◽
pp. 99-103
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