روش ﺗﻮاﺑﻊ ﭘﺎﯾﻪ ﺷﻌﺎﻋﯽ ﺑﺮای ﺣﻞ ﻣﻌﺎدﻻت اﻧﺘﮕﺮال ﻓﺮدﻫﻠﻢ ﺧﻄﯽ ﺳﻪ ﺑﻌﺪی روی داﻣﻨﻪ ﻫﺎی ﻣﮑﻌﺒﯽ

Iranian Journal of Numerical Analysis and Optimization

Article 2, Volume 7, Issue 2 - Serial Number 12, January 0, Pages 15-38   

Document Type: Research Article

DOI: 10.22067/ijnao.v7i2.52085

Abstract

هدف اصلی این مقاله ارایه یک روش عددی کارآمد برای حل معادلات انتگرال فردهلم خطی از نوع دوم روی دامنه های سه بعدی مکعبی می باشد. روش ارایه شده بر اساس درونیاب توابع پایه شعاعی مبتنی بر نقاط و وزنهای گاوس لژاندر طراحی شده است. آنالیز خطا برای روش مدنظر بیان شده است. به کمک مثالهای عددی متنوع قابلیت و کارایی روش، مورد سنجش و ارزیابی قرار گرفته است.

Keywords

معادلات انتگرال سه بعدی; توابع پایه شعاعی; روش هم محلی; دامنه های مکعبی

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