کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636881 | 1340729 | 2006 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound](/preview/png/4636881.png)
چکیده انگلیسی
Fredholm integral equation of the first kind is one of the inverse problems that arise in many engineering fields such as image processing and electromagnetic. Most inverse problems are ill-posed, so that solving discretized system of such problems with large condition number has a lot of difficulties. In this paper with using wavelet basis and collocation method the integral equation reduce to a linear system of equation. Then for solving the system we use the CG method. Furthermore, we get an estimation of error bound for this method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 179, Issue 1, 1 August 2006, Pages 352–359
Journal: Applied Mathematics and Computation - Volume 179, Issue 1, 1 August 2006, Pages 352–359
نویسندگان
K. Maleknejad, N. Aghazadeh, R. Mollapourasl,