Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives

DOI10.1515/cmam-2016-0018zbMath1352.65201OpenAlexW2359912437MaRDI QIDQ323930

Ihor Demkiv, Ivan P. Gavrilyuk, Volodymyr L. Makarov

Publication date: 10 October 2016

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

Full work available at URL: https://doi.org/10.1515/cmam-2016-0018

zbMATH Keywords

eigenvalue problemparallel algorithmfractional differential operatorhomotopy ideasuper-exponentially convergent algorithm

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

Related Items (6)

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 ⋮ Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with polynomial potential in \(\mathbb{R} ^K\), \(K \geq 2\) ⋮ Resonant equations with classical orthogonal polynomials. I ⋮ Boundary effect in accuracy estimate of the grid method for solving fractional differential equations ⋮ The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation

Uses Software

• SLEDGE

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