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Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach

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  • Hualing Wu
  • Rohul Amin
  • Asmatullah Khan
  • Shah Nazir
  • Sultan Ahmad
  • Muhammad Ahmad

Abstract

In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function. By substituting collocation points and applying the Haar collocation technique to system of delay integral equations, we have obtained a linear system of equations. For the solution of this system, an algorithm is developed in MATLAB software. The method of Gauss elimination is utilized for the solution of this system. Finally, by using these coefficients, the solution at collocation points is obtained. The convergence of Haar technique is checked on some test problems.

Suggested Citation

  • Hualing Wu & Rohul Amin & Asmatullah Khan & Shah Nazir & Sultan Ahmad & Muhammad Ahmad, 2021. "Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach," Complexity, Hindawi, vol. 2021, pages 1-11, July.
    • Handle: RePEc:hin:complx:5805433
    DOI: 10.1155/2021/5805433
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