@article{Gheorghiu_Trif_2002, title={Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. II. Indirect approximation}, volume={31}, url={https://ictp.acad.ro/jnaat/journal/article/view/2002-vol31-no2-art6}, DOI={10.33993/jnaat312-720}, abstractNote={<pre>In this paper we continue the study initiated in our previous</pre><pre> work [3] and design a projection-like algorithm to</pre><pre> approximate a hyperbolic unstable "point’’. This "point’’ is in</pre><pre> fact the positive solution of the reaction-diffusion pro<span>blem</span></pre><pre> considered in [3] and the algorithm modifies a finite</pre><pre> difference (Euler)-finite elements scheme by incorporating the</pre><pre> independence of the length of the domain condition. The numerical</pre><pre> results are in good agreement with those obtained by direct</pre><pre> methods as well as with those reported in [2], where the</pre><pre> problem is solved in a Hamiltonian setting. At the same time we</pre><pre> improve our previous results re<span>ported</span> in [3].</pre>}, number={2}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Gheorghiu, Călin Ioan and Trif, Damian}, year={2002}, month={Aug.}, pages={163–170} }