# A new approach for solving a model for HIV infection of \(\mathbf{CD4}^{+}\,\mathbf{T}\)-cells arising in mathematical chemistry using wavelets

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## Abstract

In this paper, the Legendre wavelet method for solving a model for HIV infection of \(\hbox {CD}4^{+}\,\hbox {T}\)-cells is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique have been discussed. Illustrative examples have been given to demonstrate the validity and applicability of the technique. The efficiency of the proposed method has been compared with other traditional methods and it is observed that the Legendre wavelet method is more convenient than the other methods in terms of applicability, efficiency, accuracy, error, and computational effort.

## Keywords

Legendre wavelets HIV infection CD\(4^{+}\) T-cells Convergence analysis Operational matrix## Notes

### Acknowledgments

The authors are grateful to the anonymous referees for the careful reading of the manuscript. The authors also wish to thank Department of Science and Technology, Government of India for the financial sanction towards this work under FIST Programme SR\({\setminus }\)FST\({\setminus }\)MSI - 107\({\setminus }\)2015.

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