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;
D O I:
10.32604/cmes.2022.019154
中图分类号:
T [工业技术];
学科分类号:
08 ;
摘要:
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.
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
Al Azhar Univ, Fac Sci, Dept Math, Assiut 71511, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
Elaiw, A. M.
Alsheri, A. S.
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机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
King Khalid Univ, Sci & Literature Coll Namas, Dept Math, Abha 61431, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia