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Hybrid Taylor-Lucas Collocation Method for Numerical Solution of High-Order Pantograph Type Delay Differential Equations with Variables Delays |
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PP: 1795-1801 |
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doi:10.18576/amis/110627
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Author(s) |
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Nurcan Bayku,
Mehmet Sezer,
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Abstract |
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| 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. |
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