Research Article

Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method

Table 4

Absolute errors obtained by using Runge Kutta fourth-order method and MLADM for 𝑀 = 2 0 0 0 , 𝑇 = 5 2 0 , 𝑛 = 1 0 .

𝑡 𝑖 | 𝑇 ( 𝑡 𝑖 ) R K 4 | | 𝐼 ( 𝑡 𝑖 ) R K 4 | | 𝑉 ( 𝑡 𝑖 ) R K 4 |

0 0 0 0
40 6 . 7 2 2 3 8 3 1 8 0 𝑒 1 46.86952484 61.52645903
80 12.36468885 17.63351026 30.34225709
120 2.065681397 24.99035749 25.92786405
160 5.554143394 7.508678561 3.918979165
200 3.574014571 2.126970283 5.025263611
240 8 . 3 3 4 6 2 4 8 8 5 𝑒 1 4.137182586 5.257455641
280 5 . 6 8 5 9 0 0 0 0 2 𝑒 1 1.874669218 1.657584783
320 6 . 7 9 6 6 6 7 2 6 4 𝑒 1 5 . 1 0 2 7 5 0 4 0 0 𝑒 1 9 . 9 2 6 1 2 7 0 8 1 𝑒 2
360 3 . 1 3 7 9 2 6 4 2 8 𝑒 1 6 . 3 9 5 2 5 0 0 6 4 𝑒 1 9 . 7 7 4 2 5 5 7 2 1 𝑒 1
400 1 . 3 9 6 1 8 0 2 1 2 𝑒 2 1 . 9 9 0 1 3 5 6 7 7 𝑒 1 2 . 0 8 3 5 8 2 0 7 9 𝑒 1
440 8 . 8 0 9 5 4 2 8 8 9 𝑒 2 3 . 7 1 8 4 3 9 9 4 4 𝑒 1 3 . 7 9 3 0 0 7 9 8 8 𝑒 1
480 6 . 8 3 2 5 7 9 8 1 4 𝑒 2 2 . 1 9 5 3 4 3 6 5 4 𝑒 1 3 . 2 3 7 9 3 7 8 5 8 𝑒 1
520 2 . 1 9 0 5 9 0 9 7 8 𝑒 2 1 . 5 0 6 8 8 8 6 4 3 𝑒 1 1 . 7 9 4 2 6 7 4 3 4 𝑒 1