Spectral solutions of system of Volterra integro-differential equations and their error analysis

DOI10.1007/s40819-018-0578-7zbMath1404.65334OpenAlexW2901756154WikidataQ114218637 ScholiaQ114218637MaRDI QIDQ1627742

Rajeswari Seshadri, Sagithya Thirumalai

Publication date: 3 December 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-018-0578-7

zbMATH Keywords

integro-differential equationsspectral collocation methodChebyshevLegendre and Jacobi polynomial

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new Euler matrix method for solving systems of linear Volterra integral equations with variable coefficients
• A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
• Systems of nonlinear Volterra integro-differential equations
• System of linear second order Volterra integro-differential equations using single term Walsh series technique
• He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
• Solution of systems of integro-differential equations using numerical treatment of fixed point
• Comonotonic approximations of risk measures for variable annuity guaranteed benefits with dynamic policyholder behavior
• Numerical solutions of system of linear Fredholm-Volterra integro-differential equations by the Bessel collocation method and error estimation
• Solution of a model describing biological species living together using the variational iteration method
• Method of solving linear system of Volterra integro-differential equations using the single term Walsh series
• Spectral analysis on Burgers' equation and its solutions using three different basis functions
• A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
• An approximation method for solving systems of Volterra integro-differential equations
• Numerical solution for IVP in Volterra type linear integrodifferential equations system
• Solution of systems of integral-differential equations by Adomian decomposition method
• Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations

This page was built for publication: Spectral solutions of system of Volterra integro-differential equations and their error analysis