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Radial Basis Functions Method For Solving Three-Dimensional Linear Fredholm Integral Equations on the Cubic Domains
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نویسنده
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Esmaeilbeigi Mohsen ,Mirzaee Farshid ,Moazami Davoud
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منبع
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Iranian Journal Of Numerical Analysis And Optimization - 2017 - دوره : 7 - شماره : 2 - صفحه:15 -38
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چکیده
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The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear fredholm integral equations of the second kind on the cubic domains. the method is based on interpolation by radial basis functions (rbfs) based on gauss-legendre nodes and weights. error analysis is presented for this method. finally, several examples are given and numerical examples are presented to demonstrate the validity and applica- bility of the method.
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کلیدواژه
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Three-Dimensional Integral Equation ,Radial Basis Functions ,Collocation Method ,Cubic Domains.
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آدرس
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Malayer University, Faculty Of Mathematical Sciences And Statistics, Department Of Mathematics, ایران, Malayer University, Faculty Of Mathematical Sciences And Statistics, Department Of Mathematics, ایران, Malayer University, Faculty Of Mathematical Sciences And Statistics, Department Of Mathematics, ایران
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پست الکترونیکی
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dmoazami@yahoo.com
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روش ﺗﻮاﺑﻊ ﭘﺎﯾﻪ ﺷﻌﺎﻋﯽ ﺑﺮای ﺣﻞ ﻣﻌﺎدﻻت اﻧﺘﮕﺮال ﻓﺮدﻫﻠﻢ ﺧﻄﯽ ﺳﻪ ﺑﻌﺪی روی داﻣﻨﻪ ﻫﺎی ﻣﮑﻌﺒﯽ
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