کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637159 1340735 2006 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High accuracy combination algorithm and a posteriori error estimation for solving the first kind Abel integral equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High accuracy combination algorithm and a posteriori error estimation for solving the first kind Abel integral equations
چکیده انگلیسی

This paper presents high accuracy combination algorithm for solving the first kind Abel integral equations. To avoid solving ill-posed problems, we transform the first kind Abel integral equation to the second kind Volterra integral equation with a continuous kernel expressed by a weakly singular integral. By using integration rules the approximation of this kernel can be easily computed. Then two quadrature algorithms for solving Abel integral equations are proposed, which possess accuracy order O(h1+α)(0 < α < 1) and asymptotic expansion of the errors. By means of combination algorithm, we may obtain an approximate solution with a higher accuracy order O(h2). Moreover a posteriori error estimate for the algorithms is derived. Both theory and numerical examples show that it is effective and saves storage capacity and computational work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 178, Issue 2, 15 July 2006, Pages 441–451
نویسندگان
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