An iterative numerical method for Fredholm-Volterra integral equations of the second kind

DOI10.1016/j.amc.2015.08.110zbMath1410.65499OpenAlexW1667970384MaRDI QIDQ670860

Sanda Micula

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.110

zbMATH Keywords

numerical approximationPicard iterationfixed-point theoryFredholm-Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Integral operators (45P05) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items

Analytical discussion for the mixed integral equations ⋮ Solvability of quadratic integral equations with singular kernel ⋮ Unnamed Item ⋮ Analysis of a nonlinear Volterra-Fredholm integro-differential equation ⋮ Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation ⋮ On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations ⋮ An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind ⋮ Iterative Processes and Integral Equations of the Second Kind ⋮ AN EFFICIENT STEP METHOD FOR A SYSTEM OF DIFFERENTIAL EQUATIONS WITH DELAY ⋮ A study of normality and continuity for mixed integral equations ⋮ A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations ⋮ Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations ⋮ ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM ⋮ On accurate solution of the Fredholm integral equations of the second kind ⋮ An efficient method for mixed integral equations with phase lag

Cites Work

• An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics
• Iterative approximation of fixed points
• Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind
• Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow
• Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative
• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions
• Integral equation method for acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium
• Study on convergence of hybrid functions method for solution of nonlinear integral equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item