Single-term Walsh series method for systems of linear Volterra integral equations of the second kind

DOI10.1016/j.amc.2013.11.052zbMath1364.65289OpenAlexW2015180713MaRDI QIDQ529928

V. Balakumar, K. Murugesan

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.052

zbMATH Keywords

numerical methodapproximate solutionssystem of Volterra integral equationssingle-term Walsh series

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (11)

A numerical method for solving a system of Volterra-Fredholm integral equations of the second kind based on the meshless method ⋮ STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind ⋮ Numerical solution of nonlinear stochastic Itô-Volterra integral equations based on Haar wavelets ⋮ Jacobi collocation approximation for solving multi-dimensional Volterra integral equations ⋮ Single term Walsh series method for the system of nonlinear delay Volterra integro-differential equations describing biological species living together ⋮ Numerical solutions of non-linear system of higher order Volterra integro-differential equations using generalized STWS technique ⋮ System of linear second order Volterra integro-differential equations using single term Walsh series technique ⋮ Method of solving linear system of Volterra integro-differential equations using the single term Walsh series ⋮ Numerical solutions of delay Volterra integral equations using single-term Walsh series approach ⋮ Single-term Walsh series approach for the system of linear and non-linear Volterra integral equations of first kind ⋮ On Newton-Kantorovich method for solving the nonlinear operator equation

Cites Work

• Biorthogonal systems for solving Volterra integral equation systems of the second kind
• Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method
• Numerical solution of linear Volterra integral equations system of the second kind
• Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method
• Piecewise constant orthogonal functions and their application to systems and control
• A Walsh series direct method for solving variational problems
• A perspective on the numerical treatment of Volterra equations
• A new analytical method for solving systems of Volterra integral equations
• Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems
• Analysis of different systems VIA Single-Term Walsh Series Method
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Single-term Walsh series method for systems of linear Volterra integral equations of the second kind