Open Access

ARTICLE

Efficient Numerical Scheme for the Solution of HIV Infection CD4⁺ T-Cells Using Haar Wavelet Technique

by Rohul Amin¹, Şuayip Yüzbaş^2,*, Shah Nazir³

1 Department of Mathematics, University of Peshawar, Peshawar, 25120, Pakistan
2 Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Tr-07058, Turkey
3 Department of Computer Science, University of Swabi, Swabi, 23430, Pakistan

* Corresponding Author: S¸uayip Y¨uzbas¸ı. Email:

Computer Modeling in Engineering & Sciences 2022, 131(2), 639-653. https://doi.org/10.32604/cmes.2022.019154

Received 06 September 2021; Accepted 05 November 2021; Issue published 14 March 2022

Abstract

In this paper, Haar collocation algorithm is developed for the solution of first-order of HIV infection CD4⁺ T-Cells model. In this technique, the derivative in the nonlinear model is approximated by utilizing Haar functions. The value of the unknown function is obtained by the process of integration. Error estimation is also discussed, which aims to reduce the error of numerical solutions. The numerical results show that the method is simply applicable. The results are compared with Runge-Kutta technique, Bessel collocation technique, LADM-Pade and Galerkin technique available in the literature. The results show that the Haar technique is easy, precise and effective.

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Keywords

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