کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
469686 698343 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
B-spline collocation method for the singular-perturbation problem using artificial viscosity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
B-spline collocation method for the singular-perturbation problem using artificial viscosity
چکیده انگلیسی

In this paper, we develop a B-spline collocation method using artificial viscosity for solving singularly-perturbed equations given by ϵu″(x)+a(x)u′(x)+b(x)u(x)=f(x),a(x)≥a∗>0,b(x)≥b∗>0,equation(0.1)u(0)=α,u(1)=β. We use the artificial viscosity to capture the exponential features of the exact solution on a uniform mesh and use B-spline collocation method which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence of second order. The design of artificial viscosity parameter is confirmed to be a crucial ingredient for simulating the solution of the problem. Known test problems have been studied to demonstrate the accuracy of the method. Numerical results show the behaviour of the method with emphasis on treatment of boundary conditions. Results shown by the method are found to be in good agreement with the exact solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 57, Issue 4, February 2009, Pages 650–663
نویسندگان
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