A BOUNDARY MESHLESS METHOD FOR NEUMANN PROBLEM

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MALEKNEZHAD K.; TORABI P.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2011 | Volume:22 | Issue:3 Page(s): 277-286

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Information Journal Paper

Title

A BOUNDARY MESHLESS METHOD FOR NEUMANN PROBLEM

Author(s)

MALEKNEZHAD K. | TORABI P. | Issue Writer Certificate

Keywords

LAPLACE’S EQUATIONQ2

NEUMANN PROBLEMQ2

BOUNDARY INTEGRAL EQUATIONQ2

MESHLESS METHODQ2

MOVING LEAST SQUARES METHODQ2

Abstract

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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APA: Copy

MALEKNEZHAD, K., & TORABI, P.. (2011). A BOUNDARY MESHLESS METHOD FOR NEUMANN PROBLEM. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 22(3), 277-286. SID. https://sid.ir/paper/84136/en

Vancouver: Copy

MALEKNEZHAD K., TORABI P.. A BOUNDARY MESHLESS METHOD FOR NEUMANN PROBLEM. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2011;22(3):277-286. Available from: https://sid.ir/paper/84136/en

IEEE: Copy

K. MALEKNEZHAD, and P. TORABI, “A BOUNDARY MESHLESS METHOD FOR NEUMANN PROBLEM,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 22, no. 3, pp. 277–286, 2011, [Online]. Available: https://sid.ir/paper/84136/en

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