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Journal of Applied Sciences

Year: 2011 | Volume: 11 | Issue: 14 | Page No.: 2585-2591
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Authors

J. Sedighi Hafshejani

S. Karimi Vanani

J. Esmaily

Keywords

Research Article

Operational Tau Approximation for Neutral Delay Differential Systems

J. Sedighi Hafshejani, S. Karimi Vanani and J. Esmaily
Neutral Delay Differential Systems (NDDSs) arise in many areas of various mathematical modeling. Infectious diseases, population dynamics, physiological and pharmaceutical kinetics and chemical kinetics, the navigational control of ships and mechanical systems, chemical process simulation and optimal control are the main field concerning with NDDSs. The purpose of this study was to present an extension of the algebraic formulation of the Operational Tau Method (OTM) for the numerical solution of NDDSs. The proposed method converts the delay parts of the desired NDDS to some operational matrices. Then the NDDS reduces to a set of algebraic equations. Some orthogonal bases including shift Chebyshev and shifted Legendre polynomials are used to decrease the volume of computations. Two illustrative linear and nonlinear experiments are included to show the high accuracy and efficiency of the proposed method.
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