Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via tau-collocation method with convergence analysis

DOI10.1016/j.cam.2016.06.028zbMath1346.65075OpenAlexW2471433577MaRDI QIDQ738995

D. Kharzeev

Publication date: 16 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.06.028

zbMATH Keywords

Sobolev spacematrix representationnumerical resultsystem of nonlinear algebraic equationsnonlinear Volterra-Fredholm-Hammerstein integral equationstau-collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (7)

Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations ⋮ Non-polynomial spline functions and Quasi-linearization to approximate nonlinear Volterra integral equation ⋮ Unnamed Item ⋮ Piecewise barycentric interpolating functions for the numerical solution of Volterra integro‐differential equations ⋮ Applying the three‐dimensional block‐pulse functions to solve system of <scp>Volterra–Hammerstein</scp> integral equations ⋮ Numerical solution of Volterra-Fredholm integral equations using the collocation method based on a special form of the Müntz-Legendre polynomials ⋮ Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations

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