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Approximation algorithm for a system of pantograph equations. (English) Zbl 1244.65122

Summary: We show how to adapt an efficient numerical algorithm to obtain an approximate solution of a system of pantograph equations. This algorithm is based on a combination of Laplace transform and Adomian decomposition method. Numerical examples reveal that the method is quite accurate and efficient, it approximates the solution to a very high degree of accuracy after a few iterates.

MSC:

65L99 Numerical methods for ordinary differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
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