{"title":"正交指数多项式配点法求解受电弓方程","authors":"M. Bilal, N. Rosli, I. Ahmad, M. Sajid","doi":"10.31580/SPS.V1I2.783","DOIUrl":null,"url":null,"abstract":"Novel matrix based numerical technique known as collocation method is implemented for the solution of pantograph differential equations (PDE) via truncated orthoexponential polynomial(OEP). To check applicability, reliability and efficiency of the methodology, here examine three examples of delay differential equations. At last the comparison made between proposed and reported methodologies and present method was perfect in agreement.","PeriodicalId":21574,"journal":{"name":"Science Proceedings Series","volume":"37 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solution of Pantograph Equation by Collocation method using Orthogonal Exponential Polynomials(OEP)\",\"authors\":\"M. Bilal, N. Rosli, I. Ahmad, M. Sajid\",\"doi\":\"10.31580/SPS.V1I2.783\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Novel matrix based numerical technique known as collocation method is implemented for the solution of pantograph differential equations (PDE) via truncated orthoexponential polynomial(OEP). To check applicability, reliability and efficiency of the methodology, here examine three examples of delay differential equations. At last the comparison made between proposed and reported methodologies and present method was perfect in agreement.\",\"PeriodicalId\":21574,\"journal\":{\"name\":\"Science Proceedings Series\",\"volume\":\"37 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science Proceedings Series\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31580/SPS.V1I2.783\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science Proceedings Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31580/SPS.V1I2.783","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of Pantograph Equation by Collocation method using Orthogonal Exponential Polynomials(OEP)
Novel matrix based numerical technique known as collocation method is implemented for the solution of pantograph differential equations (PDE) via truncated orthoexponential polynomial(OEP). To check applicability, reliability and efficiency of the methodology, here examine three examples of delay differential equations. At last the comparison made between proposed and reported methodologies and present method was perfect in agreement.