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• W2040280650 abstract "In this paper, a meshless local Petrov–Galerkin (MLPG) method is presented to treat parabolic partial differential equations with Neumann's and non-classical boundary conditions. A difficulty in implementing the MLPG method is imposing boundary conditions. To overcome this difficulty, two new techniques are presented to use on square domains. These techniques are based on the finite differences and the Moving Least Squares (MLS) approximations. Non-classical integral boundary condition is approximated using Simpson's composite numerical integration rule and the MLS approximation. Two test problems are presented to verify the efficiency and accuracy of the method." @default.
• W2040280650 created "2016-06-24" @default.
• W2040280650 creator A5034042947 @default.
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• W2040280650 date "2011-02-01" @default.
• W2040280650 modified "2023-09-23" @default.
• W2040280650 title "MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions" @default.
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• W2040280650 doi "https://doi.org/10.1016/j.apnum.2010.09.002" @default.
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