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Legendre multiwavelet collocation method for solving the linear fractional time delay systems

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Central European Journal of Physics

Abstract

In this article the Legendre multiwavelet basis with aid of collocation method has been applied to give approximate solution for fractional delay systems. The properties of Legendre multiwavelet are presented. These properties together with the collocation method are then utilized to reduce the problem to the solution of algebraic system. Numerical results and comparison with exact solutions in the cases when we have exact solution are given in test examples in order to demonstrate the applicability and efficiency of the method.

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Authors and Affiliations

  1. Department of Mathematics, Shahid Beheshti University, G.C. Tehran, Iran

    Sohrab Ali Yousefi & Ali Lotfi

Authors
  1. Sohrab Ali Yousefi
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  2. Ali Lotfi
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Correspondence to Sohrab Ali Yousefi.

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Yousefi, S.A., Lotfi, A. Legendre multiwavelet collocation method for solving the linear fractional time delay systems. centr.eur.j.phys. 11, 1463–1469 (2013). https://doi.org/10.2478/s11534-013-0283-4

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  • DOI: https://doi.org/10.2478/s11534-013-0283-4

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