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

DOI10.1080/23311835.2016.1250705zbMath1426.65205OpenAlexW2537866133MaRDI QIDQ4966835

Azizallah Alvandi, Mahmoud Paripour

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1250705

zbMATH Keywords

Taylor seriesreproducing kernelAbel's integral

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05)

Related Items (4)

Approximate solution of some nonlinear classes of Abel integral equations using hybrid expansion ⋮ The combined reproducing kernel method and Taylor series for handling nonlinear Volterra integro-differential equations with derivative type kernel ⋮ Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space ⋮ Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions

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