We are using parallelization to numerically solve the Smoluchowski equation for local anesthetics. We are simulating the transfer of local anesthetic on the gird of neurons with the Smoluchowski equation, which includes chemical potential. Computational complexity of solving discretized Smoluchowski equation will lead us to parallelization of code. We parallelize code with the tools OpenMP and CUDA on the central process unit and central graphic units. The solution includes parallelization on a central process unit, graphic process unit and multiple graphic process units simultaneously. We present times of execution between used tools. With the results, we present the meaningfulness of using parallelization for the given problem.
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