کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901857 | 1631948 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, using the modified Adomian decomposition method, a novel fast scheme, has been presented, being interactive, to be used for solving a class of hypersingular integral equations of the first kind. Compared to the standard Adomian decomposition method, this method expedites the quick accumulation of a series of solutions. Different problems, for exemplification, have been solved in order to display the accuracy and validity of the aforementioned method. According to the results, it gets known that the novel fast modified Adomian decomposition method is so efficient and simple which gives the exact solution, and also shuns the complicated function of long theoretical calculations of collocation methods based on polynomial producing the exact solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 343, 1 December 2018, Pages 619-634
Journal: Journal of Computational and Applied Mathematics - Volume 343, 1 December 2018, Pages 619-634
نویسندگان
Reza Novin, Mohammad Ali Fariborzi Araghi, Yaghoub Mahmoudi,