کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637887 1631989 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Collocation method for Generalized Abel’s integral equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Collocation method for Generalized Abel’s integral equations
چکیده انگلیسی


• We present polynomials based collocation methods for Generalized Abel’s integral equations.
• The convergence of the presented method is also established.
• Illustrative examples show the validity and applicability of the proposed method.

The purpose of this paper is to present an approximate method for solving the Generalized Abel’s integral equations. The approximate method is based on the collocation method for solving Volterra integral equations. Generalized Abel’s integral equations could be considered as a more general form of Volterra integral equations. Collocation method in sense of Atkinson’s approach (Atkinson, 2016) is applied to get the approximate solution of Generalized Abel’s integral equations. The convergence analysis of the presented method is also established. The different polynomials such as (1) Jacobi polynomials (2) Legendre polynomials (3) Chebyshev polynomials and (4) Gegenbauer polynomials are considered to get the numerical solution of the Generalized Abel’s integral equations. Illustrative examples with different solutions are considered to show the validity and applicability of the proposed method. Numerical results show that the proposed method works well and achieve good accuracy even for less number of polynomials. Further, the performance of the proposed method is compared under the effect of different polynomials.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 302, 15 August 2016, Pages 118–128
نویسندگان
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