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Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type. (English) Zbl 1165.65366
Summary: The aim is to present the multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type. In presenting the process of the solution, the error estimation and run time of the method is introduced. We present the advantages of using the method and compare it with other methods. Comparing the numerical results obtained from the other methods, demonstrate the high accuracy and the efficiency of the proposed method. Also, we present some experiments in which numerical results show that the method works excellently, even where the data points are scattered. This indicates that the method is stable too.

MSC:
65L05 Numerical methods for initial value problems involving ordinary differential equations
34K07 Theoretical approximation of solutions to functional-differential equations
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