کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519310 867653 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation
چکیده انگلیسی

A numerical method based on sinc collocation approximation for a class of nonlinear weakly singular Volterra integral equations of a second kind with non-smooth solution is given. The numerical method given here combines a sinc collocation method with an explicit iterative process that involves solving a nonlinear system of equations. We provide an error analysis for the method. It is shown that the approximate solution converges to the exact solution at the rate of Mexp(-cM), where M is the number of collocation points and c is some positive constant. Some numerical results for several test functions are given to confirm the accuracy and the ease of implementation of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 18, 1 September 2010, Pages 6548–6557
نویسندگان
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