A new approach for solving a model for HIV infection of $$\mathbf{CD4}^{+}\,\mathbf{T}$$ CD 4 + T -cells arising in mathematical chemistry using wavelets
| Autor: | S. Raja Balachandar, S. K. Ayyaswamy, K. Balasubramanian, Sriram Venkatesh |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Mathematical chemistry
Legendre wavelet 020209 energy Applied Mathematics Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Human immunodeficiency virus (HIV) 010103 numerical & computational mathematics 02 engineering and technology General Chemistry medicine.disease_cause 01 natural sciences Algebraic equation Wavelet Operational matrix Error analysis ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Convergence (routing) 0202 electrical engineering electronic engineering information engineering medicine Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematical Chemistry. 54:1072-1082 |
| ISSN: | 1572-8897 0259-9791 |
| DOI: | 10.1007/s10910-016-0604-0 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|