On the application of spline functions to initial value problems with retarded argument

DOI10.1080/00207169008803825zbMath0752.65057OpenAlexW2157343720WikidataQ126246186 ScholiaQ126246186MaRDI QIDQ4009736

S. M. Abo-Hasha, Ahmad E. El-Safty

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00207169008803825

zbMATH Keywords

initial value problemsspline functionsretarded argumentNumerical examplesdelay ordinary differential equationscomparison with other methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (19)

\(2h\)-step spline method for the solution of delay differential equations ⋮ Convergence Of The Spline Function For Delay Dynamic System ⋮ Existence, Uniqueness and Applications of the Spline Method for Functional-Differential Equation of Neutral Type ⋮ A Taylor method for numerical solution of generalized pantograph equations with linear functional argument ⋮ Numerical and theoretical treatment for solving linear and nonlinear delay differential equations using variational iteration method ⋮ Laguerre polynomial approach for solving linear delay difference equations ⋮ Application of spline functions to neutral delay-differential equations ⋮ A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term ⋮ A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions ⋮ Numeric solutions for the pantograph type delay differential equation using first Boubaker polynomials ⋮ The numerical solution of differential equations with retarded argument by means of natural spline functions of even degree ⋮ Existence, uniqueness and stability of the spline function for delay controlled dynamic system ⋮ A comparative study on the stability of Laplace-Adomian algorithm and numerical methods in generalized pantograph equations ⋮ Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis ⋮ Stability of 2h-step spline method for delay differential equations ⋮ A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments ⋮ A taylor collocation method for solving high-order linear pantograph equations with linear functional argument ⋮ Convergence of the spline function for functional-differential equation of neutral type ⋮ A Galerkin-like approach to solve multi-pantograph type delay differential equations

Cites Work

• Unnamed Item
• Numerical treatment of delay differential equations by Hermite interpolation
• Numerical solutions of ordinary and retarded differential equations with discontinuous derivatives
• [https://portal.mardi4nfdi.de/wiki/Publication:4402781 Approximate Solution of the Differential Equation y � � = f(x,y) with Spline Functions]
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• The Numerical Solution of Volterra Functional Differential Equations by Euler’s Method

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