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

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Amin R., YÜZBAŞI Ş., Nazir S.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, cilt.130, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 130
  • Basım Tarihi: 2022
  • Doi Numarası: 10.32604/cmes.2022.019154
  • Dergi Adı: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: System of nonlinear differential equations, HIV infection of CD4(+) T-cells, Broyden method, Haar wavelet, residual error estimation, DIFFERENTIAL-EQUATIONS, MATHEMATICAL-ANALYSIS, COLLOCATION METHOD, MODEL, DYNAMICS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.