کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776309 | 1631968 | 2017 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions
ترجمه فارسی عنوان
یک روش تطبیقی هابر برای سیستم های غیرخطی معادلات انتگرال ولتررا با هسته ها و راه حل های ضعیف منحصر به فرد
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کلمات کلیدی
معادلات انتگرال ولتررا، هسته های تک مرکب، راه حل های ضعیف منحصر به فرد، روش های سازگاری، ادغام محصول، الکتروشیمی محاسباتی،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
Numerical methods for solving nonlinear systems of weakly singular Volterra integral equations (VIEs) possessing weakly singular solutions appear almost nonexistent in the literature, except for a few treatments of single first kind Abel equations. To reduce this gap, an extension is presented, of the adaptive Huber method designed for VIEs with singular kernels such as K(t,Ï)=(tâÏ)â1/2 and K(t,Ï)=exp[âλ(tâÏ)](tâÏ)â1/2 (where λâ¥0) and a variety of nonsingular kernels. The method was thus far restricted to bounded solutions having at least two derivatives. Under a number of assumptions specified, the extension applies to solutions Uμ(t) that can be written as sums of singular components cμtâ1/2 (with unknown coefficients cμ), and nonsingular components U¯μ(t). In the solution process, factor tâ1/2 is handled analytically, whereas cμ and U¯μ(t) are determined numerically. Computational experiments reveal that the extended method determines singular solutions equally well as the unextended method determined nonsingular solutions. The method is intended primarily for a class of VIEs encountered in electroanalytical chemistry, but it can also be of interest to other application areas.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 323, 15 October 2017, Pages 136-146
Journal: Journal of Computational and Applied Mathematics - Volume 323, 15 October 2017, Pages 136-146
نویسندگان
L.K. Bieniasz,