Operational Solution to the Nonlinear Klein-Gordon Equation

作     者：G.Bengochea L.Verde-Star M.Ortigueira 

作者机构：Departamento de MatematicasUniversidad Autonoma MetropolitanaIztapalapaApartado 55-534Ciudad de MexicoMexico CTS-UNINOVA/Department of Electrical EngineeringFaculdade de Ciencias e Tecnologia da Universidade Nova de LisboaCampus da FCT da UNLQuinta da Torre 2825-149 Monte da CaparicaPortugal 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2018年第69卷第5期

页      面：506-512页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by Grant SEP-CONACYT 220603 SEP-PRODEP through the project UAM-PTC-630 Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013 

主　　题：operational calculus partial differential equations nonlinear Klein-Gordon equation 

摘      要：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.