کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643231 1341372 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spline collocation method for integro-differential equations with weakly singular kernels
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Spline collocation method for integro-differential equations with weakly singular kernels
چکیده انگلیسی

In the first part of this paper we study the regularity properties of solutions to initial or boundary-value problems of Fredholm integro-differential equations with weakly singular or other nonsmooth kernels. We then use these results in the analysis of a piecewise polynomial collocation method for solving such problems numerically. Presented numerical examples display that theoretical results are in good accordance with actual convergence rates of proposed algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 197, Issue 1, 1 December 2006, Pages 253–269
نویسندگان
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