Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions

DOI10.1080/25742558.2018.1521084zbMath1426.65219OpenAlexW2890575289MaRDI QIDQ5193288

Amirahmad A. Khajehnasiri, Mostafa Safavi

Publication date: 10 September 2019

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2018.1521084

zbMATH Keywords

nonlinear equationsoperational matrixtwo-dimensional Volterra-Fredholm integral equationstwo-dimensional block-pulse functions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (6)

Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations ⋮ Application of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation ⋮ Unnamed Item ⋮ Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations ⋮ A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order ⋮ Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Solving nonlinear two-dimensional Volterra integro-differential equations by block-pulse functions
• Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
• A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations
• Application of 2D-bpfs to nonlinear integral equations
• Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
• Thresholds and travelling waves for the geographical spread of infection
• Numerical solutions of system of linear Fredholm-Volterra integro-differential equations by the Bessel collocation method and error estimation
• On mixed Volterra-Fredholm type integral equations
• A model for the spatial spread of an epidemic
• Solution of integral equations using a set of block pulse functions
• Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions.
• A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
• Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
• Numerical solution of high-order Volterra-Fredholm integro-differential equations by using Legendre collocation method
• Numerical solution of nonlinear 2D Volterra-Fredholm integro-differential equations by two-dimensional triangular function
• Fixed point techniques and Schauder bases to approximate the solution of the first order nonlinear mixed Fredholm-Volterra integro-differential equation
• Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Solution of Volterra's population model via block‐pulse functions and Lagrange‐interpolating polynomials

This page was built for publication: Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions