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Operational Solution to the Nonlinear Klein-Gordon Equation
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Orientador(es)
Resumo(s)
We obtain solutions of the nonlinear Klein-Gordon equation using a novel operational method combined with the Adomian polynomial expansion of nonlinear functions. Our operational method does not use any integral transforms nor integration processes. We illustrate the application of our method by solving several examples and present numerical results that show the accuracy of the truncated series approximations to the solutions.
Descrição
Supported by Grant SEP-CONACYT 220603, the first author was supported by SEP-PRODEP through the project UAM-PTC-630, the third author was supported by Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013
Palavras-chave
nonlinear Klein-Gordon equation operational calculus partial differential equations Physics and Astronomy (miscellaneous)