کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631967 | 1340633 | 2011 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A note on solving Cauchy integral equations of the first kind by iterations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A note on solving Cauchy integral equations of the first kind by iterations A note on solving Cauchy integral equations of the first kind by iterations](/preview/png/4631967.png)
چکیده انگلیسی
The successive approximation method was applied for the first time by N.I. Ioakimidis to solve practical cases of a Cauchy singular integral equation: the airfoil one. In this paper we study a more general case. We prove the convergence of the method in this general case. The proposed method has been tested for two kernels which are particularly important in practice. Finally, some numerical examples illustrate the accuracy of the method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 18, 15 May 2011, Pages 7442–7447
Journal: Applied Mathematics and Computation - Volume 217, Issue 18, 15 May 2011, Pages 7442–7447
نویسندگان
Abdelaziz Mennouni, Said Guedjiba,