Numerical Solutions of Systems of High-Order Linear Differential-Difference Equations with Bessel Polynomial Bases

Yüzbaşı, Şuayip; Şahı̇n, Niyazi; Yıldırımb, Ahmet

doi:10.5560/zna.2011-0015

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…There are few studies in the literature to solve Eqs. (1) and (2) in the case M = 2, 3 which are Bessel polynomial bases method [34,35], Taylor collocation method [36], Euler matrix method [37] and method based on combination of Laplace transform and Adomian decomposition method [38], that they were studied in their nonlinear case only in the reference [38].…”

Section: Introductionmentioning

confidence: 99%

Solution of a system of delay differential equations of multi pantograph type

Davaeifar

Rashidinia

2017

Journal of Taibah University for Science

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A collocation method is proposed to obtain an approximate solution of a system of multi pantograph type delay differential equations with variable coefficients subject to the initial conditions. The general approach is that, first of all the solution of the system has been expanded according to First Boubaker polynomials (FBPs) basis. Then, by employing the matrix operations and collocation nodes, the original problem and the associated initial conditions are reduced to a nonlinear system. By solving such system, the unknown coefficients of the approximate solution can be determined. Convergence analysis of the proposed method has been proved. The presented method has been tested on three different examples. The computed results confirm the high accuracy of collocation method based on FBPs.

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