{"title":"用简化微分变换法求解曲面流动的偏微分方程","authors":"Yanick Alain Servais Wellot","doi":"10.37418/jcsam.5.2.3","DOIUrl":null,"url":null,"abstract":"The aim of this work is to find exact solutions of the non-linear partial differential equations describing the motion of Newtonian fluids at the surface. The reduced differential transform method is used to find the exact solutions of these equations. This method produces an algorithm that favours rapid convergence of the problem towards the exact solution sought.","PeriodicalId":361024,"journal":{"name":"Journal of Computer Science and Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SOLVING PARTIAL DIFFERENTIAL EQUATIONS MODELLING SURFACE FLOWS BY THE REDUCED DIFFERENTIAL TRANSFORM METHOD\",\"authors\":\"Yanick Alain Servais Wellot\",\"doi\":\"10.37418/jcsam.5.2.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this work is to find exact solutions of the non-linear partial differential equations describing the motion of Newtonian fluids at the surface. The reduced differential transform method is used to find the exact solutions of these equations. This method produces an algorithm that favours rapid convergence of the problem towards the exact solution sought.\",\"PeriodicalId\":361024,\"journal\":{\"name\":\"Journal of Computer Science and Applied Mathematics\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computer Science and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37418/jcsam.5.2.3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computer Science and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/jcsam.5.2.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SOLVING PARTIAL DIFFERENTIAL EQUATIONS MODELLING SURFACE FLOWS BY THE REDUCED DIFFERENTIAL TRANSFORM METHOD
The aim of this work is to find exact solutions of the non-linear partial differential equations describing the motion of Newtonian fluids at the surface. The reduced differential transform method is used to find the exact solutions of these equations. This method produces an algorithm that favours rapid convergence of the problem towards the exact solution sought.