Bernstein series solutions of pantograph equations using polynomial interpolation

DOI10.1080/10236198.2010.496456zbMath1243.34117OpenAlexW2033340063MaRDI QIDQ2881912

Zekeriya Güney, Mehmet Sezer, Osman Rasit Isik

Publication date: 3 May 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2010.496456

zbMATH Keywords

Bernstein polynomialsdifferential equationsdelay differential equationspolynomial interpolationpantograph equations

Mathematics Subject Classification ID

Related Items (31)

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Uses Software

• mctoolbox

Cites Work

• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• The pantograph equation in the complex plane
• Interpolation and approximation by polynomials
• Properties of analytic solution and numerical solution of multi-pantograph equation
• Generalized refinement equations and subdivision processes
• Solutions of differential equations in a Bernstein polynomial basis
• A super-attainable order in collocation methods for differential equations with proportional delay
• Approximate solution of multi-pantograph equation with variable coefficients
• A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• On neutral functional-differential equations with variable time delays
• The Adomian decomposition method for solving delay differential equation
• On the asymptotics of solutions of a class of linear functional-differential equations
• Accuracy and Stability of Numerical Algorithms
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• On a Functional Differential Equation
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