求解Fredholm积分方程的同伦分析方法的收敛性

Q3 Multidisciplinary

Walailak Journal of Science and Technology Pub Date : 2013-04-30 DOI:10.2004/WJST.V10I4.318

B. Ghanbari

{"title":"求解Fredholm积分方程的同伦分析方法的收敛性","authors":"B. Ghanbari","doi":"10.2004/WJST.V10I4.318","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to study the convergence of the Homotopy analysis method (HAM) for solving Fredholm integral equations. A sufficient condition for convergence of the method is illustrated. The validity of the presented condition for convergence of the HAM is studied for two examples. The comparison of the obtained results by the method with an exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations.","PeriodicalId":38275,"journal":{"name":"Walailak Journal of Science and Technology","volume":"10 1","pages":"395-403"},"PeriodicalIF":0.0000,"publicationDate":"2013-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the Convergence of the Homotopy Analysis Method for Solving Fredholm Integral Equations\",\"authors\":\"B. Ghanbari\",\"doi\":\"10.2004/WJST.V10I4.318\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to study the convergence of the Homotopy analysis method (HAM) for solving Fredholm integral equations. A sufficient condition for convergence of the method is illustrated. The validity of the presented condition for convergence of the HAM is studied for two examples. The comparison of the obtained results by the method with an exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations.\",\"PeriodicalId\":38275,\"journal\":{\"name\":\"Walailak Journal of Science and Technology\",\"volume\":\"10 1\",\"pages\":\"395-403\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Walailak Journal of Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2004/WJST.V10I4.318\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Multidisciplinary\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Walailak Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2004/WJST.V10I4.318","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}

引用次数: 2

摘要

研究了求解Fredholm积分方程的同伦分析方法的收敛性。给出了该方法收敛的一个充分条件。通过两个算例验证了该条件的有效性。将该方法得到的结果与精确解的比较表明，该方法是可靠的，能够为求解此类方程提供解析处理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the Convergence of the Homotopy Analysis Method for Solving Fredholm Integral Equations

The aim of this paper is to study the convergence of the Homotopy analysis method (HAM) for solving Fredholm integral equations. A sufficient condition for convergence of the method is illustrated. The validity of the presented condition for convergence of the HAM is studied for two examples. The comparison of the obtained results by the method with an exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Walailak Journal of Science and Technology Multidisciplinary-Multidisciplinary

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Walailak Journal of Science and Technology (Walailak J. Sci. & Tech. or WJST), is a peer-reviewed journal covering all areas of science and technology, launched in 2004. It is published 12 Issues (Monthly) by the Institute of Research and Innovation of Walailak University. The scope of the journal includes the following areas of research : - Natural Sciences: Biochemistry, Chemical Engineering, Chemistry, Materials Science, Mathematics, Molecular Biology, Physics and Astronomy. -Life Sciences: Allied Health Sciences, Biomedical Sciences, Dentistry, Genetics, Immunology and Microbiology, Medicine, Neuroscience, Nursing, Pharmaceutics, Psychology, Public Health, Tropical Medicine, Veterinary. -Applied Sciences: Agricultural, Aquaculture, Biotechnology, Computer Science, Cybernetics, Earth and Planetary, Energy, Engineering, Environmental, Food Science, Information Technology, Meat Science, Nanotechnology, Plant Sciences, Systemics