کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776695 1632158 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of system of Volterra integral equations with weakly singular kernels and its convergence analysis
ترجمه فارسی عنوان
راه حل عددی سیستم معادلات انتگرال ولتررا با هسته های ضعیف منحصر به فرد و تجزیه و تحلیل همگرایی آن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی
In this paper, efficient and computationally attractive methods based on the Sinc approximation with the single exponential (SE) and double exponential (DE) transformations for the numerical solution of a system of Volterra integral equations with weakly singular kernels are presented. Simplicity for performing even in the presence of singularities is one of the advantages of Sinc methods. Convergence analysis of the proposed methods is given and an exponential convergence is achieved as well. Numerical results are presented which demonstrate the efficiency and high accuracy of the proposed methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 115, May 2017, Pages 82-98
نویسندگان
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