Numerical Solutions of Singularly Perturbed Reaction Diffusion Equation with Sobolev Gradients

Table 3

Comparison of Newton's method and steepest descent in 𝐻^1,𝑤 for different values of 𝜖.

𝜖=1.0		𝜖=0.1		𝜖=0.01		—
Newton	𝐻^1,𝑤	Newton	𝐻^1,𝑤	Newton	𝐻^1,𝑤	Error
10	13	30	10	NC	13	10^−5
11	20	38	16	NC	22	10^−7
11	28	NC	22	NC	34	10^−9