Research Article

Computationally Efficient Technique for Solving ODE Systems Exhibiting Initial and Boundary Layers

Table 1

Errors in 𝑤 ( 1 ) and 𝑤 ( 2 ) .

time ( 𝑡 ) 𝑥 𝑤 ( 1 ) 𝑥 𝑤 ( 2 )

0 0 . 0 3 1 4 5 4 2 0 . 0 3 2 1 5 3
0 . 1 0 . 0 0 2 0 4 7 9 9 0 . 0 0 1 1 4 6 4 7
0 . 2 0 . 0 0 1 1 7 3 6 1 0 . 0 0 0 5 8 1 5 9 6
0 . 3 0 . 0 0 0 8 2 4 1 3 8 0 . 0 0 0 3 9 6 2 8
0 . 4 0 . 0 0 0 6 4 1 8 7 1 0 . 0 0 0 3 1 4 0 0 8
0 . 5 0 . 0 0 0 5 2 8 3 4 4 0 . 0 0 2 5 8 6 7 5
0 . 6 0 . 0 0 0 4 5 5 3 1 1 0 . 0 0 0 2 1 9 1 9 8
0 . 7 0 . 0 0 0 3 9 9 1 9 5 0 . 0 0 0 1 9 5 8 1 2
0 . 8 0 . 0 0 0 3 5 4 7 8 5 0 . 0 0 0 1 7 7 0 3 6
0 . 9 0 . 0 0 0 3 1 8 8 0 2 0 . 0 0 0 1 6 1 5 3
1 0 . 0 0 0 2 8 9 0 8 1 0 . 0 0 0 1 4 8 5