Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type

DOI10.1515/CMAM-2017-0010zbMath1382.65216arXiv1706.09061OpenAlexW2712242487MaRDI QIDQ1697106

Nataliia M. Romaniuk, Ivan P. Gavrilyuk, Volodymyr L. Makarov

Publication date: 15 February 2018

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09061

zbMATH Keywords

eigenvalue problemparallel computationexact functional discrete schemefractional differential equation of Jacobi-typenumercial exampleparallel symbolic algorithmsuper-exponentially convergence ratetruncated functional discrete scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

Related Items (7)

Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives ⋮ Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential ⋮ Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type ⋮ Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients ⋮ Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with polynomial potential in \(\mathbb{R} ^K\), \(K \geq 2\) ⋮ Preface: Numerical analysis of fractional differential equations ⋮ Resonant equations with classical orthogonal polynomials. I

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