کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1863583 1530641 2007 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method
چکیده انگلیسی

In this Letter, we present the homotopy analysis method (shortly HAM) for obtaining the numerical solutions of Laplace equation with Dirichlet and Neumann boundary conditions. The series solution is developed and the recurrence relations are given explicitly. The initial approximation can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions. The comparison of the HAM results with the variational iteration method (shortly VIM) results is made. The HAM contains the auxiliary parameter ℏ, therefore we control with a simple way the convergence region of solution series.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 365, Issues 5–6, 11 June 2007, Pages 412–415
نویسندگان
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