Direct and iterative methods for the numerical solution of mixed integral equations

DOI10.1016/j.amc.2010.05.032zbMath1195.65223OpenAlexW2059749403MaRDI QIDQ988633

M. V. Fernández Muñoz, Franca Caliò, Elena Marchetti

Publication date: 18 August 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.032

zbMATH Keywords

convergencenumerical resultssplinecollocation methodsSchauder basesfixed point methodsVolterra-Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items

Iterative method and convergence analysis for a kind of mixed nonlinear Volterra-Fredholm integral equation ⋮ Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm–Volterra integral equations of Hammerstein type ⋮ An approximate solution for a mixed linear Volterra-Fredholm integral equation ⋮ About some numerical approaches for mixed integral equations ⋮ Numerical analysis of fractional Volterra integral equations via Bernstein approximation method ⋮ Numerical solution of Volterra-Fredholm integral equations using parameterized pseudospectral integration matrices ⋮ Fixed-point iterative algorithm for the linear Fredholm-Volterra integro-differential equation ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs ⋮ Lagrange collocation method for solving Volterra-Fredholm integral equations ⋮ Bernstein collocation method for solving nonlinear Fredholm-Volterra integrodifferential equations in the most general form ⋮ Unnamed Item

Cites Work

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• Nonlinear initial-value problems and Schauder bases
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• ISOMORPHISMS, SCHAUDER BASES IN BANACH SPACES, AND NUMERICAL SOLUTION OF INTEGRAL AND DIFFERENTIAL EQUATIONS
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• An algorithm based on Q. I. modified splines for singular integral models

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