ON THE NUMERICAL SOLUTION OF NEUTRAL DELAY DIFFERENTIAL EQUATIONS USING MULTIQUADRIC APPROXIMATION SCHEME

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 45, Issue 4, 2008, pp.663-670
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2008.45.4.663

Title & Authors

ON THE NUMERICAL SOLUTION OF NEUTRAL DELAY DIFFERENTIAL EQUATIONS USING MULTIQUADRIC APPROXIMATION SCHEME

Vanani, Solat Karimi; Aminataei, Azim;

Vanani, Solat Karimi; Aminataei, Azim;

Abstract

In this paper, the aim is to solve the neutral delay differential equations in the following form using multiquadric approximation scheme, (1) where f : is a smooth function, and are continuous functions on such that t- < and t - < . Also represents the initial function or the initial data. Hence, we present the advantage of using the multiquadric approximation scheme. In the sequel, presented numerical solutions of some experiments, illustrate the high accuracy and the efficiency of the proposed method even where the data points are scattered.

Keywords

multiquadric approximation scheme;delay differential equations;neutral delay differential equations;

Language

English

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