کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901123 1631728 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane
ترجمه فارسی عنوان
راه حل عددی برای سیستم معادلات انتگرال منحصر به فرد نوع کوشی با تجزیه و تحلیل خطا آن در سطح پیچیده
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this paper, the problem of finding numerical solution for a system of Cauchy type singular integral equations of first kind with index zero is considered. The analytic solution of such system is known. But it is of limited use as it is a nontrivial task to use it practically due to the presence of singularity in the known solution itself. Therefore, a residual based Galerkin method is proposed with Legendre polynomials as basis functions to find its numerical solution. The proposed method converts the system of Cauchy type singular integral equations into a system of linear algebraic equations which can be solved easily. Further, Hadamard conditions of well-posedness are established for system of Cauchy singular integral equations as well as for system of linear algebraic equations which is obtained as a result of approximation of system of singular integral equations with Cauchy kernel. The theoretical error bound is derived which can be used to obtain any desired accuracy in the approximate solution of system of Cauchy singular integral equations. The derived theoretical error bound is also validated with the help of numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 328, 1 July 2018, Pages 338-352
نویسندگان
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