Particle swarm optimization algorithm is combined with difference schemes to solve a class of singularly perturbed convection-diffusion problems on Bakhvalov-Shishkin mesh. The particle swarm optimization algorithm is used to optimize the mesh parameter in Bakhvalov-Shishkin mesh, and the objective function for finding minimum value of the error norm is constructed. Two numerical examples are calculated. The experimental results show that the particle swarm optimization algorithm can obtain better numerical results than the fixed mesh parameter, and the numerical results are convergent, which verifies the effectiveness and superiority of this method.

%U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.1905-0134