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Zbl 1235.65148
El-Sayed, A.M.A.; Elsaid, A.; Hammad, D.
A reliable treatment of homotopy perturbation method for solving the nonlinear Klein-Gordon equation of arbitrary (fractional) orders.
(English)
[J] J. Appl. Math. 2012, Article ID 581481, 13 p. (2012). ISSN 1110-757X; ISSN 1687-0042/e

Summary: The reliable treatment of homotopy perturbation method (HPM) is applied to solve the Klein-Gordon partial differential equation of arbitrary (fractional) orders. This algorithm overcomes the difficulty that arises in calculating complicated integrals when solving nonlinear equations. Some numerical examples are presented to illustrate the efficiency of this technique.
MSC 2000:
*65N99 Numerical methods for BVP of PDE
35Q53 KdV-like equations
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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