Identification of diffusion parameters in a non-linear convection–diffusion equation using adaptive homotopy perturbation method

Figures & data

Table 1. The required iteration numbers by AHPM, HPM and BIM in Example 4.1.

Number	Initial value	h	AHPM	HPM	BIM
1	0.18	1/4	7	8	No convergence
2	2.51	1/4	6	7	7
3	4.93	1/4	6	7	No convergence
4	7.36	1/10	9	12	No convergence
5	9.77	1/10	9	12	No convergence
6	12.15	1/10	9	12	No convergence

Figure 1. The true model and inversion result with 5% Gaussian noise added in Example 4.2.

Figure 2. The true model and inversion result with 5% Gaussian noise added in Example 4.3.

Figure 3. The relative $l^2$ errors with respect to different Gaussian noise levels in Example 4.4.

Figure 4. The true model and inversion result with 1% Gaussian noise added in Example 4.5.

Figure 5. The true model and inversion result with 1% Gaussian noise added in Example 4.6.

Figure 6. The true model and inversion result with 1% Gaussian noise added in Example 4.7.