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Cogent Mathematics Volume 3, 2016 - Issue 1
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Research Article

The combined reproducing kernel method and Taylor series to solve nonlinear Abel’s integral equations with weakly singular kernel

Azizallah AlvandiDepartment of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, IranView further author information
&
Mahmoud ParipourDepartment of Mathematics, Hamedan University of Technology, Hamedan65155-579IranCorrespondence[email protected]
View further author information
|
Lutz AngermannClausthal University of Technology, GermanyView further author information
(Reviewing Editor)
Article: 1250705 | Received 03 May 2016, Accepted 08 Oct 2016, Published online: 11 Nov 2016

Citations (5)

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Read on this site (1)

Azizallah Alvandi & Mahmoud Paripour. (2018) Reproducing kernel method for a class of weakly singular Fredholm integral equations. Journal of Taibah University for Science 12:4, pages 409-414.
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Articles from other publishers (4)

Khosrow Maleknejad & Hamed Shahi Kalalagh. (2021) Approximate solution of some nonlinear classes of Abel integral equations using hybrid expansion. Applied Numerical Mathematics 159, pages 61-72.
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Elif NURAY YILDIRIM & Ali AKGUL. (2020) On Solutions of a Higher Order Nonhomogeneous Ordinary Differential Equation. Fundamental Journal of Mathematics and Applications 3:2, pages 153-160.
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Hussein Sahihi, Tofigh Allahviranloo & Saeid Abbasbandy. (2020) Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space. Applied Numerical Mathematics 151, pages 27-39.
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Azizallah Alvandi & Mahmoud Paripour. (2019) The combined reproducing kernel method and Taylor series for handling nonlinear Volterra integro-differential equations with derivative type kernel. Applied Mathematics and Computation 355, pages 151-160.
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