Elsevier

Applied Mathematical Modelling

Volume 37, Issue 6, 15 March 2013, Pages 4283-4294
Applied Mathematical Modelling

A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

https://doi.org/10.1016/j.apm.2012.09.032Get rights and content
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Abstract

This paper presents a direct solution technique for solving the generalized pantograph equation with variable coefficients subject to initial conditions, using a collocation method based on Bernoulli operational matrix of derivatives. Only small dimension of Bernoulli operational matrix is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for generalized pantograph equations.

Keywords

Functional differential equations
Pantograph equation
Collocation method
Direct method
Operational matrix
Bernoulli polynomials

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