کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901850 1631948 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution and its analysis for a system of hypersingular integral equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical solution and its analysis for a system of hypersingular integral equations
چکیده انگلیسی
A system of hypersingular integral equations occurs quite naturally in several branches of science and engineering during the formulation of many boundary value problems. The analytical solution is known for the system of dominant equations. However, there are many real world problems such as crack problems occur in the field of fracture mechanics which may not be formulated as system of dominant equations. Therefore, we propose a numerical method to find the approximate solution for such generalized form. The convergence of the proposed method is proved in LN2 space. This convergence helps to derive theoretical error bound for the error between the exact and the approximate solution. An application of the proposed method in finding numerical solution of hypersingular integral equation over the curves is shown. Finally, the derived theoretical error bound is numerically calculated and validated with the help of numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 343, 1 December 2018, Pages 520-538
نویسندگان
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