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Zbl 1165.65366
Vanani, S.Karimi; Aminataei, A.
Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type. (English)
[J] Math. Comput. Modelling 49, No. 1-2, 234-241 (2009). ISSN 0895-7177

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 2000:: *65L05 Initial value problems for ODE (numerical methods)
34K07 Theoretical approximation of solutions of FDE

Keywords: multiquadric approximation scheme; delay differential systems; neutral delay differential systems; error analysis; stability of the method; run time of computations

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Zentralblatt MATH Berlin [Germany]