{"title":"求解非线性波动方程的新解析方法及应用","authors":"Ram Dayal Pankaj","doi":"10.52280/pujm.2022.540901","DOIUrl":null,"url":null,"abstract":":The proposed analytical approach is a sophisticated grouping of Elzaki Transform and Homotopy Analysis Method (HAM), called Homotopy Analysis Elzaki Transform (HAET) method, for solving Non-linear Wave System which is combination of two wave equations (Telegraph and Klein Gordon (K-G) Type Equations). This study will be exemplifying\nto well-becoming character of HAET method. The obtained solution is\ngraphically sketched.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"New Analytical Method and Application for Solve the Nonlinear Wave Equation\",\"authors\":\"Ram Dayal Pankaj\",\"doi\":\"10.52280/pujm.2022.540901\",\"DOIUrl\":null,\"url\":null,\"abstract\":\":The proposed analytical approach is a sophisticated grouping of Elzaki Transform and Homotopy Analysis Method (HAM), called Homotopy Analysis Elzaki Transform (HAET) method, for solving Non-linear Wave System which is combination of two wave equations (Telegraph and Klein Gordon (K-G) Type Equations). This study will be exemplifying\\nto well-becoming character of HAET method. The obtained solution is\\ngraphically sketched.\",\"PeriodicalId\":205373,\"journal\":{\"name\":\"Punjab University Journal of Mathematics\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Punjab University Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52280/pujm.2022.540901\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2022.540901","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
提出的解析方法是Elzaki变换和同伦分析方法(HAM)的一种复杂组合,称为同伦分析Elzaki变换(HAET)方法,用于求解由两个波动方程(Telegraph和Klein Gordon (K-G)型方程)组成的非线性波动系统。本研究将举例说明HAET方法的福祉特性。得到的解用图形表示出来。
New Analytical Method and Application for Solve the Nonlinear Wave Equation
:The proposed analytical approach is a sophisticated grouping of Elzaki Transform and Homotopy Analysis Method (HAM), called Homotopy Analysis Elzaki Transform (HAET) method, for solving Non-linear Wave System which is combination of two wave equations (Telegraph and Klein Gordon (K-G) Type Equations). This study will be exemplifying
to well-becoming character of HAET method. The obtained solution is
graphically sketched.