کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645626 | 1342052 | 2011 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions](/preview/png/4645626.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 61, Issue 2, February 2011, Pages 170-180
Journal: Applied Numerical Mathematics - Volume 61, Issue 2, February 2011, Pages 170-180