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Journal of Sciences Islamic Republic of Iran، جلد ۲۲، شماره ۳، صفحات ۲۷۷-۲۸۶
عنوان فارسی A Boundary Meshless Method for Neumann Problem
چکیده فارسی مقاله Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is described for solving this integral equation. Error analysis of this method is discussed and then its application and accuracy are illustrated by some case studies.
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عنوان انگلیسی A Boundary Meshless Method for Neumann Problem
چکیده انگلیسی مقاله Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is described for solving this integral equation. Error analysis of this method is discussed and then its application and accuracy are illustrated by some case studies.
کلیدواژه‌های انگلیسی مقاله Laplace’s equation, Moving least squares method, Neumann problem, Boundary integral equation, Meshless method
نویسندگان مقاله k ملک نژاد |
iran university of science and technology
سازمان اصلی تایید شده: دانشگاه علم و صنعت ایران (Iran university of science and technology)

نشانی اینترنتی http://jsciences.ut.ac.ir/article_23590_cd154492cca35158bab2e15bc7c4d007.pdf
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