Linear Fredholm integro-differential-difference equations and their effective computation

DOI10.1007/s40010-020-00688-8zbMath1490.34071OpenAlexW3043413614MaRDI QIDQ2057525

Cai-lian Zhou, Song Xu, Lie-jun Xie

Publication date: 6 December 2021

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-020-00688-8

zbMATH Keywords

least squares approximation methodLagrange-multiplier methodresidual error function techniqueintegro-differential-difference equation

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Algorithms for approximation of functions (65D15) Fredholm integral equations (45B05) Linear integral equations (45A05) Linear difference equations (39A06)

Cites Work

• The approximate solutions of Fredholm integrodifferential-difference equations with variable coefficients via homotopy analysis method
• Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions
• Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations
• A new computational approach for the solutions of generalized pantograph-delay differential equations
• Approximations to the solution of linear Fredholm integro-differential-difference equation of high order
• A new collocation method for solution of mixed linear integro-differential-difference equations
• Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients
• Laguerre collocation method for solving Fredholm integro-differential equations with functional arguments
• An effective computational method for solving linear multi-point boundary value problems
• Fibonacci collocation method for solving high-order linear Fredholm integro-differential-difference equations
• A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
• A Bernoulli polynomial approach with residual correction for solving mixed linear Fredholm integro-differential-difference equations
• A Bessel polynomial approach for solving general linear Fredholm integro-differential–difference equations
• HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
• Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations

This page was built for publication: Linear Fredholm integro-differential-difference equations and their effective computation