A Taylor method for numerical solution of generalized pantograph equations with linear functional argument

DOI10.1016/j.cam.2005.12.015zbMath1112.34063OpenAlexW2054327318MaRDI QIDQ859882

Mehmet Sezer, Ayşegül Akyüz-Daşcıoğlu

Publication date: 22 January 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.12.015

zbMATH Keywords

functional equationsTaylor methodpantograph equations

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument
• The pantograph equation in the complex plane
• On the attainable order of collocation methods for pantograph integro-differential equations
• Properties of analytic solution and numerical solution of multi-pantograph equation
• Generalized refinement equations and subdivision processes
• The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials
• A Taylor polynomial approach for solving differential-difference equations
• Laguerre series solution of a functional differential equation
• Walsh stretch matrices and functional differential equations
• On the application of spline functions to initial value problems with retarded argument
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
• The Adomian decomposition method for solving delay differential equation
• A Taylor expansion approach for solving integral equations
• Solution of a functional differential equation via delayed unit step functions
• Convergence Of The Spline Function For Delay Dynamic System
• Stability of the Discretized Pantograph Differential Equation
• A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials
• On a Functional Differential Equation
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

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