The combined reproducing kernel method and Taylor series for handling nonlinear Volterra integro-differential equations with derivative type kernel
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Publication:2009363
DOI10.1016/j.amc.2019.02.023zbMath1429.65305OpenAlexW2921479591MaRDI QIDQ2009363
Mahmoud Paripour, Azizallah Alvandi
Publication date: 28 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.023
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Theoretical approximation of solutions to functional-differential equations (34K07)
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A new kernel functions based approach for solving 1-D interface problems ⋮ Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral ⋮ Superconvergent kernel functions approaches for the second kind Fredholm integral equations ⋮ Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space
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