کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631022 | 1340614 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel](/preview/png/4631022.png)
چکیده انگلیسی
In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of a class of linear Volterra integro-differential equations with weakly singular kernel. If the exact solution is polynomial, then the exact solution can be obtained. If the exact solution is not a polynomial, then an accurate solution can be obtained with a combination of choice in the number of nodes and the number of digits in the solver. In addition, the method is presented with error and stability analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 16, 15 April 2011, Pages 7009–7020
Journal: Applied Mathematics and Computation - Volume 217, Issue 16, 15 April 2011, Pages 7009–7020
نویسندگان
Osman Raşit Işik, Mehmet Sezer, Zekeriya Güney,