Spline Method with Five Collocation Points for Solving Systems of High-Index Linear Differential Algebraic Equations
published by Tishreen University
in 2014
in
and research's language is
العربية
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Abstract in English
In this paper, we introduce a numerical method for solving systems of high-index differential algebraic equations. This method is based on approximating the exact solution by spline polynomial of degree eight with five collocation points to find the numerical solution in each step. The study shows that the method when applied to linear differential-algebraic systems with index equal one is stable and convergent of order 8, while it is stable and convergent of order 9-u for index equal u .
Numerical experiments for four test examples and comparisons with other available results are given to illustrate the applicability and efficiency of the presented method
References used
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