Computational algorithms for solving the coefficient inverse problem for parabolic equations

Figures & data

Figure 1. Coefficient $p(t)$ for various values of parameter $\mathit{\gamma }$.

Figure 2. The solution of the direct problem at the point of observation.

Figure 3. The solution of the direct problem for $t=T$.

Figure 4. Solution error of the inverse problem.

Figure 5. Solution error for exact solution with $\mathit{\gamma }=1000$.

Figure 6. Solution error for problem of identification of non-negative coefficient.

Figure 7. Solution error for second-order schemes.

Figure 8. Solution error for second-order schemes when $\mathit{\gamma }=1000$.

Figure 9. Auxiliary function $w(x,t)$ at the point of observation.

Figure 10. Direct problem solution at the point of observation.

Figure 11. The solution of the direct problem at $t=T$, $\mathit{\beta }=-100$.

Figure 12. Solution error of identification problem for $\mathit{\beta }=-100$.

Figure 13. Auxiliary function $w(x,t)$ at the point of observation for $\mathit{\beta }=-100$.