{"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}
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.
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
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