Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD4+ T-cells considering the impact of antiviral drug treatment
作者：
Highlights：
• Two numerical methods are developed for solving the fractional-order HIV-1 infection model of CD4+ T-cells.
• Two method (Bessel matrix method and Bessel quasilinearization method) are based on the novel Bessel polynomials.
• Error and convergence analysis are studied.
• Numerical applications and comparisons show that methods are effective.
• In the comparison of the two methods used, the Bessel-QLM method gives better results.
摘要
•Two numerical methods are developed for solving the fractional-order HIV-1 infection model of CD4+ T-cells.•Two method (Bessel matrix method and Bessel quasilinearization method) are based on the novel Bessel polynomials.•Error and convergence analysis are studied.•Numerical applications and comparisons show that methods are effective.•In the comparison of the two methods used, the Bessel-QLM method gives better results.
论文关键词：Bessel polynomials,Collocation points,Error and convergence analysis,Fractional-order HIV-1 infection model of CD4+ T-cells,Caputo’s fractional derivative,Nonlinear differential equations,The technique of quasilinearization
论文评审过程：Received 31 March 2021, Revised 27 December 2021, Accepted 8 June 2022, Available online 26 June 2022, Version of Record 26 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127319
