A new approach for solving a model for HIV infection of -cells arising in mathematical chemistry using wavelets

被引:0
作者
Venkatesh, S. G. [1 ]
Balachandar, S. Raja [1 ]
Ayyaswamy, S. K. [1 ]
Balasubramanian, K. [1 ]
机构
[1] SASTRA Univ, Sch Humanities & Sci, Dept Math, Thanjavur 613401, Tamil Nadu, India
关键词
Legendre wavelets; HIV infection; CD4(+) T-cells; Convergence analysis; Operational matrix; OPERATIONAL MATRIX; NUMERICAL-SOLUTION; DYNAMICS; APPROXIMATION;
D O I
10.1007/s10910-016-0604-0
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this paper, the Legendre wavelet method for solving a model for HIV infection of -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.
引用
收藏
页码:1072 / 1082
页数:11
相关论文
共 33 条
[1]  
Arafa Aam, 2012, Nonlinear Biomed Phys, V6, P1, DOI 10.1186/1753-4631-6-1
[2]   The dynamics of T-cell fratricide: application of a robust approach to mathematical modelling in immunology [J].
Asquith, B ;
Bangham, CRM .
JOURNAL OF THEORETICAL BIOLOGY, 2003, 222 (01) :53-69
[3]   Numerical Solution of Optimal Control of Time-varying Singular Systems via Operational Matrices [J].
Behroozifar, M. ;
Yousefi, S. A. ;
Ranjbar, A. N. .
INTERNATIONAL JOURNAL OF ENGINEERING, 2014, 27 (04) :523-532
[4]   A delay-differential equation model of HIV infection of CD4+ T-cells [J].
Culshaw, RV ;
Ruan, SG .
MATHEMATICAL BIOSCIENCES, 2000, 165 (01) :27-39
[5]   Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method [J].
Dogan, Nurettin .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[6]   Application of the homotopy analysis method for solving a model for HIV infection of CD4+ T-cells [J].
Ghoreishi, M. ;
Ismail, A. I. B. Md. ;
Alomari, A. K. .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) :3007-3015
[7]  
Gokdogan A., 2011, MIDDLE E J SCIENTI F, V9, P503
[8]   Solving a fractional order model of HIV infection of CD4+ T cells [J].
Gokdogan, Ahmet ;
Yildirim, Ahmet ;
Merdan, Mehmet .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) :2132-2138
[9]  
Gu JS, 1996, INT J SYST SCI, V27, P623, DOI 10.1080/00207729608929258
[10]   An efficient iterated method for mathematical biology model [J].
Khan, Yasir ;
Vazquez-Leal, Hector ;
Wu, Q. .
NEURAL COMPUTING & APPLICATIONS, 2013, 23 (3-4) :677-682