On Parallel Numerical Algorithms for Fractional Diffusion Problems

Proceedings of: Third International Workshop on Sustainable Ultrascale Computing Systems (NESUS 2016). Sofia (Bulgaria), October, 6-7, 2016.In this work, we consider a parallel numerical solution of problems depending onf ractional power sof elliptic operator. Three different state of theart approaches are used to transform the original non-local problem into well-known local PDE problems. Parallel numerical algorithms for allt hreea pproaches are developed and discussed. Results of their parallel performance tests are presented and analysed.The work presented in this paper has been partially supported by EU under the COST programme Action IC1305,’Network for Sustainable Ultrascale Computing (NESUS)’. This research was also funded by agrant (No. MIP-074/2015) from the Research Council of Lithuania