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

被引：7

作者：

Amin, Rohul ^{[1
]}

Yuzbasi, Suayip ^{[2
]}

Nazir, Shah ^{[3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25120, Pakistan

[2] Akdeniz Univ, Fac Sci, Dept Math, TR-07058 Antalya, Turkey

[3] Univ Swabi, Dept Comp Sci, Swabi 23430, Pakistan

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2022年 / 131卷 / 02期

关键词：

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.

引用

页码：639 / 653

页数：15

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