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A Boundary Meshless Method for Neumann Problem | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 7، دوره 22، شماره 3، آذر 2011، صفحه 277-286 اصل مقاله (244.53 K) | ||
| نویسنده | ||
| k Maleknejad | ||
| Iran University of Science and Technology | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Laplace’s equation؛ Moving least squares method؛ Neumann problem؛ Boundary integral equation؛ Meshless method | ||
| عنوان مقاله [English] | ||
| A Boundary Meshless Method for Neumann Problem | ||
| نویسندگان [English] | ||
| k Maleknejad | ||
| چکیده [English] | ||
| 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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