A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations

DOI10.1007/s11075-014-9858-4zbMath1317.65252OpenAlexW2017833503MaRDI QIDQ2017616

F. Talati, Seyyed Ahmad Hosseini, Sedaghat Shahmorad

Publication date: 23 March 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-014-9858-4

zbMATH Keywords

numerical examplesoperational tau methodmatrix based methodtwo-dimensional nonlinear Volterra-Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (15)

Some Powerful Techniques for Solving Nonlinear Volterra-Fredholm Integral Equations ⋮ Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations ⋮ Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations ⋮ Free response of a continuous vibrational system with attachments and/or discontinuities using segmented operational Tau method ⋮ Unnamed Item ⋮ Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations ⋮ Review of recursive and operational approaches of the tau method with a new extension ⋮ Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach ⋮ The numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis ⋮ A matrix formulated algorithm for solving parabolic equations with nonlocal boundary conditions ⋮ A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations ⋮ Numerical solutions of two-dimensional nonlinear integral equations via Laguerre wavelet method with convergence analysis ⋮ Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations ⋮ New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations ⋮ Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method

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