کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641394 1341307 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
چکیده انگلیسی

We discuss the convergence properties of spline collocation and iterated collocation methods for a weakly singular Volterra integral equation associated with certain heat conduction problems. This work completes the previous studies of numerical methods for this type of equations with noncompact kernel. In particular, a global convergence result is obtained and it is shown that discrete superconvergence can be achieved with the iterated collocation if the exact solution belongs to some appropriate spaces. Some numerical examples illustrate the theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 229, Issue 2, 15 July 2009, Pages 363–372
نویسندگان
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