Numerical solution of nonlinear two-dimensional Volterra integral equation of the second kind in the reproducing kernel space

DOI10.1007/s40096-017-0219-zzbMath1453.65451OpenAlexW2604058727WikidataQ59516472 ScholiaQ59516472MaRDI QIDQ1704482

A. Fazli, Shahnam Javadi, Tofigh Allahviranloo

Publication date: 12 March 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-017-0219-z

zbMATH Keywords

reproducing kernelFourier coefficientstwo-dimentional Volterra integral equation of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (3)

Extrapolation method for solving two-dimensional Volterra integral equations of the second kind ⋮ Numerical solutions of two-dimensional nonlinear integral equations via Laguerre wavelet method with convergence analysis ⋮ A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations

Cites Work

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• Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
• Numerical Solution of Two-Dimensional Integral Equations Using Linear Elements
• An electromagnetic integral equation: Application to microtearing modes
• Collocation methods for two dimensional weakly singular integral equations
• An Euler-type method for two-dimensional Volterra integral equations of the first kind

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