Hybrid Taylor-Lucas collocation method for numerical solution of high-order pantograph type delay differential equations with variables delays
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Date
2017
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Abstract
In this study we consider a higher-order linear nonhomogenous pantograph type delay differential equation with variable coefficients and variables delays, and propose a new collocation method based on hybrid Taylor and Lucas polynomials. The presented method transforms the delay differential equation with the initial and boundary conditions to a system of linear algebraic equations with the unknown Lucas coefficients; by finding Lucas coefficients easily, Lucas polynomial solutions are obtained. Also an error estimation technique based on residual function is developed for our method and applied to exiting problems. © 2017 NSP.