Performance Evaluation of Space Fractional FitzHugh-Nagumo Model: an Implementation with PETSc Library
نویسندگان
چکیده
Space fractional derivatives have been used instead of integer operators with success in a variety of practical applications to study and describe transport processes in media characterized by spatial connectivity properties and high structural heterogeneity altering the classical laws of diffusion. This study provides an implementation of space fractional FitzHugh-Nagumo model of excitable medium in two-dimensional space. This implementation is based on shifted Grunwald-Letnikov computational scheme which transforms the space fractional diffusion equations to a system of algebraic equations. After that, the conjugated gradient method is used to solve the sparse matrix system. MPI and PETSc library is used for implementation. We investigate the influence of some factors to our implementation performance and scalability such as core numbers, size of computation mesh, and fractional derivative orders. All tests are done on ccNUMA architecture with two CPUs.
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