{"title":"基于二维boubaker多项式的二维lane - emden问题的数值研究","authors":"Abdelkrim Bencheikh","doi":"10.37418/amsj.12.9.1","DOIUrl":null,"url":null,"abstract":"The paper presents a numerical solution for the two-dimensional Lane-Emden problem using two-dimensional Boubaker polynomials. The method involves utilizing the operational matrix of differentiation and collocation method to convert the problem into a system of algebraic equations. The proposed approach, based on two-dimensional Boubaker polynomials operational matrices, is shown to be straightforward and effective. The validity and applicability of the method are demonstrated through illustrative examples.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"163 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A NUMERICAL STUDY OF 2D-LANE-EMDEN PROBLEM USING 2D-BOUBAKER POLYNOMIALS\",\"authors\":\"Abdelkrim Bencheikh\",\"doi\":\"10.37418/amsj.12.9.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents a numerical solution for the two-dimensional Lane-Emden problem using two-dimensional Boubaker polynomials. The method involves utilizing the operational matrix of differentiation and collocation method to convert the problem into a system of algebraic equations. The proposed approach, based on two-dimensional Boubaker polynomials operational matrices, is shown to be straightforward and effective. The validity and applicability of the method are demonstrated through illustrative examples.\",\"PeriodicalId\":231117,\"journal\":{\"name\":\"Advances in Mathematics: Scientific Journal\",\"volume\":\"163 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics: Scientific Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37418/amsj.12.9.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.12.9.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A NUMERICAL STUDY OF 2D-LANE-EMDEN PROBLEM USING 2D-BOUBAKER POLYNOMIALS
The paper presents a numerical solution for the two-dimensional Lane-Emden problem using two-dimensional Boubaker polynomials. The method involves utilizing the operational matrix of differentiation and collocation method to convert the problem into a system of algebraic equations. The proposed approach, based on two-dimensional Boubaker polynomials operational matrices, is shown to be straightforward and effective. The validity and applicability of the method are demonstrated through illustrative examples.
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