Modified method for determining an approximate solution of the Fredholm–Volterra integral equations by Taylor’s expansion

DOI10.1080/00207160600988524zbMath1114.65156OpenAlexW1967346206MaRDI QIDQ3437359

No author found.

Publication date: 9 May 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160600988524

zbMATH Keywords

Fredholm integral equationnumerical examplesVolterra integral equationweakly singular kernelTaylor's expansion

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (7)

Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions ⋮ Approximate solution of linear ordinary differential equations with variable coefficients ⋮ A collocation approach for solving systems of linear Volterra integral equations with variable coefficients ⋮ New operational matrix of integrations and coupled system of Fredholm integral equations ⋮ Approximate solution of a class of linear integro-differential equations by Taylor expansion method ⋮ Approximate solution of a system of linear integral equations by the Taylor expansion method ⋮ Transient dynamics of a massive structure on the seismically oscillating foundation

Cites Work

• Solution methods for integral equations. Theory and applications
• A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
• Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
• A simple Taylor-series expansion method for a class of second kind integral equations
• Two methods for solving integral equations
• A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
• Computational Methods for Integral Equations
• Linear multistep methods for Volterra integral and integro-differential equations
• Collocation Methods for Weakly Singular Second-kind Volterra Integral Equations with Non-smooth Solution
• Sources and Applications of Integral Equations
• THE ELECTROSTATIC FIELD OF TWO EQUAL CIRCULAR CO-AXIAL CONDUCTING DISKS
• Linear integral equations
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

This page was built for publication: Modified method for determining an approximate solution of the Fredholm–Volterra integral equations by Taylor’s expansion