Tau approximation method for the weakly singular Volterra-Hammerstein integral equations

DOI10.1016/j.amc.2016.03.038zbMath1410.65484OpenAlexW2338347700MaRDI QIDQ1733501

H. Laeli Dastjerdi, Majid Nili Ahmadabadi

Publication date: 21 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.2016.03.038

zbMATH Keywords

polynomial approximationtau methodnumerical treatmentweakly singular Volterra-Hammerstein integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximation by polynomials (41A10) Singular nonlinear integral equations (45G05)

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Cites Work

• A new Neumann series method for solving a family of local fractional Fredholm and Volterra integral equations
• A generalized Gronwall inequality and its application to a fractional differential equation
• Numerical computation of the tau approximation for the Volterra-Hammerstein integral equations
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
• Existence results for nonlinear integral equations
• Tau approximate solution of weakly singular Volterra integral equations
• Numerical piecewise approximate solution of Fredholm integro-differential equations by the tau method
• Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
• Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method