Proceedings of the 20th Conference on Computer Science and Intelligence Systems (FedCSIS)

DOI: http://dx.doi.org/10.15439/2025F2449

Citation: Proceedings of the 20th Conference on Computer Science and Intelligence Systems (FedCSIS), M. Bolanowski, M. Ganzha, L. Maciaszek, M. Paprzycki, D. Ślęzak (eds). ACSIS, Vol. 43, pages 715–720 (2025)

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Abstract. In this contribution, the numerical solution of the spectral fractional elliptic equation with power $\alpha \in (1,2)$ is studied. After discretization, the problem is reduced to solving a system of linear algebraic equations. We apply the Best Uniform Rational Approximation (BURA) method and focus on the numerical aspects, related to its implementation. An extensive experimental study is conducted to evaluate the accuracy of the proposed approach. The numerical results confirm the theoretical analysis and demonstrate the effectiveness of using the BURA method for the fractional super-diffusion problems.

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