A Laplace Decomposition Method for Nonlinear Partial Differential Equations with Nonlinear Term of Any Order-中国期刊网

摘要 ALaplacedecompositionalgorithmisadoptedtoinvestigatenumericalsolutionsofaclassofnonlinearpartialdiferentialequationswithnonlineartermofanyorder,utt+auxx+bu+cup+du2p1=0,whichcontainssomeimportantequationsofmathematicalphysics.Threedistinctinitialconditionsareconstructedandgeneralizednumericalsolutionsaretherebyobtained,includingnumericalhyperbolicfunctionsolutionsanddoublyperiodicones.Illustrativefiguresandcomparisonsbetweenthenumericalandexactsolutionswithdiferentvaluesofpareusedtotesttheefciencyoftheproposedmethod,whichshowsgoodresultsareachieved.

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A Laplace Decomposition Method for Nonlinear Partial Differential Equations with Nonlinear Term of Any Order

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A Laplace Decomposition Method for Nonlinear Partial Differential Equations with Nonlinear Term of Any Order

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