A Taylor operation method for solutions of generalized pantograph type delay differential equations

DOI10.3906/mat-1506-71zbMath1424.34220OpenAlexW2794195850WikidataQ130070077 ScholiaQ130070077MaRDI QIDQ4634105

Şuayip Yüzbaşı, Nurbol Ismailov

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/45644/574832

zbMATH Keywords

error estimationinner productdelay differential equationspantograph equationresidual correctionTaylor operation method

Mathematics Subject Classification ID

Theoretical approximation of solutions to functional-differential equations (34K07) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical methods for functional-differential equations (65L03)

Related Items

Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets ⋮ Unnamed Item ⋮ An operational matrix method to solve the Lotka-Volterra predator-prey models with discrete delays ⋮ Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model ⋮ A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis ⋮ Taylor wavelet solution of linear and nonlinear Lane-Emden equations ⋮ Unnamed Item ⋮ A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument ⋮ Spectral Tau method for solving general fractional order differential equations with linear functional argument

Cites Work

• Unnamed Item
• A new operational approach for numerical solution of generalized functional integro-differential equations
• A collocation method using Hermite polynomials for approximate solution of pantograph equations
• An efficient algorithm for solving generalized pantograph equations with linear functional argument
• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• Variational iteration method for solving a generalized pantograph equation
• Collocation and residual correction
• An exponential approximation for solutions of generalized pantograph-delay differential equations
• A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
• Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations
• Numeric solutions for the pantograph type delay differential equation using first Boubaker polynomials
• Approximate solution of multi-pantograph equation with variable coefficients
• Collocation method and residual correction using Chebyshev series
• A Bessel collocation method for numerical solution of generalized pantograph equations
• Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type
• A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
• Operational matrices of Bernstein polynomials and their applications
• The Adomian decomposition method for solving delay differential equation
• Collocation Methods for Volterra Integral and Related Functional Differential Equations