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Mahmoud Paripour
Hamedan University of Technology
Earth & Planetary Sciences Environmental Science Materials Science & Nanotechnology Mathematics Physics

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The Combined Reproducing Kernel Method and Taylor Series for Solving Weakly Singular Fredholm Integral Equations Azizallah Alvandi; Mahmoud Paripour
International Journal of Advances in Applied Sciences Vol 5, No 3: September 2016
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijaas.v5.i3.pp109-117

Abstract

In this paper, a numerical method is proposed for solving weakly singular Fredholm integral equations in Hilbert reproducing kernel space (RKHS). The Taylor series is used to remove singularity and reproducing kernel function are used as a basis. The effectiveness and stability of the numerical scheme is illustrated through two numerical examples.
Co-Authors Azizallah Alvandi