Numerical solution of functional differential equations: a Green's function-based iterative approach

DOI10.1080/00207160.2017.1344230zbMath1499.65261OpenAlexW2650074445MaRDI QIDQ5028614

A. Sayfy, Khuri, Suheil A.

Publication date: 10 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2017.1344230

zbMATH Keywords

Green's functiondelay differential equationsfunctional differential equationsfixed point iterative schemes

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Theoretical approximation of solutions to functional-differential equations (34K07) Numerical methods for ordinary differential equations (65L99) Numerical methods for functional-differential equations (65L03)

Related Items (9)

An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena ⋮ A unified approach to study the existence and numerical solution of functional differential equation ⋮ A faster iterative method for solving nonlinear third-order BVPs based on Green's function ⋮ On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument ⋮ A novel approach for the solution of BVPs via Green's function and fixed point iterative method ⋮ The convergence properties of the Green's function method for third order functional differential equations ⋮ Computation of solution of integral equations via fixed point results ⋮ The Newton-Cotes quadratures for solving a delay differential system ⋮ A rapid-converging analytical iterative scheme for solving singular initial value problems of Lane-Emden type

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