The Space-Time Meshless Methods for the Solution of One-Dimensional Klein-Gordon Equations

作     者：ZHANG Zhiqiang WANG Fuzhang ZHANG Juan ZHANG Zhiqiang;WANG Fuzhang;ZHANG Juan

作者机构：General Education CenterZhengzhou Business UniversityGongyi 451200HenanChina College of EducationNanchang Normal College of Applied TechnologyNanchang 330108JiangxiChina School of Computer Science&TechnologyHuaibei Normal UniversityHuaibei 235000AnhuiChina School of Information and Control EngineeringChina University of Mining and TechnologyXuzhou 221116JiangsuChina 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2022年第27卷第4期

页      面：313-320页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Supported by Anhui Provincial Natural Science Foundation(1908085QA09) 

主　　题：radial basis functions meshless method space-time 

摘      要：A simple direct space-time meshless scheme,based on the radial or non-radial basis function,is proposed for the onedimensional Klein-Gordon *** these equations are time-dependent,it is worthwhile to present two schemes for the basis functions from radial and non-radial *** first scheme is fulfilled by considering time variable as normal space variable,to construct anisotropicspace-time radial basis *** other scheme considered a realistic relationship between space variable and time variable which is not *** timedependent variable is treated regularly during the whole solution process and the Klein-Gordon equations can be solved in a direct *** results show that the proposed meshless schemes are simple,accurate,stable,easy-to-program and efficient for the Klein-Gordon equations.