{"title":"求解具有跳跃条件的两区间Sturm-Liouville问题的广义有限差分法","authors":"S. Çavuşoğlu, O. Mukhtarov","doi":"10.1063/5.0115479","DOIUrl":null,"url":null,"abstract":"We consider a Sturm-Liouville problem defined on two disjoint intervals\n together with additional jump conditions across the common endpoint of these\n intervals. Based on Finite Difference Method (FDM) we have developed a new\n tecnique for solving such type nonstandard boundary value problems (BVP). To\n show applicability and effectiveness of the proposed generalization of FDM,\n we solved a simple but illustrative example. The obtained numerical\n solutions are graphically compared with the corresponding exact solutions.","PeriodicalId":383729,"journal":{"name":"10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized finite difference method for solving two-interval Sturm-Liouville problems with jump conditions\",\"authors\":\"S. Çavuşoğlu, O. Mukhtarov\",\"doi\":\"10.1063/5.0115479\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a Sturm-Liouville problem defined on two disjoint intervals\\n together with additional jump conditions across the common endpoint of these\\n intervals. Based on Finite Difference Method (FDM) we have developed a new\\n tecnique for solving such type nonstandard boundary value problems (BVP). To\\n show applicability and effectiveness of the proposed generalization of FDM,\\n we solved a simple but illustrative example. The obtained numerical\\n solutions are graphically compared with the corresponding exact solutions.\",\"PeriodicalId\":383729,\"journal\":{\"name\":\"10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0115479\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/5.0115479","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized finite difference method for solving two-interval Sturm-Liouville problems with jump conditions
We consider a Sturm-Liouville problem defined on two disjoint intervals
together with additional jump conditions across the common endpoint of these
intervals. Based on Finite Difference Method (FDM) we have developed a new
tecnique for solving such type nonstandard boundary value problems (BVP). To
show applicability and effectiveness of the proposed generalization of FDM,
we solved a simple but illustrative example. The obtained numerical
solutions are graphically compared with the corresponding exact solutions.