Jacobi-Davidson method for the second order fractional eigenvalue problems

DOI10.1016/j.chaos.2020.110614zbMath1498.65129OpenAlexW3120892681MaRDI QIDQ2129468

Ying He, Qian Zuo

Publication date: 22 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110614

zbMATH Keywords

Jacobi-Davidson methodCaputo derivativefractional eigenvalue problemPGMRES

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

Related Items

Legendre wavelet based numerical approach for solving a fractional eigenvalue problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A novel method for solving second order fractional eigenvalue problems
• A new numerical method for solving high-order fractional eigenvalue problems
• An efficient method for solving fractional Sturm-Liouville problems
• Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
• Numerical methods for fourth-order fractional integro-differential equations
• A new operational matrix for solving fractional-order differential equations
• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems
• Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
• Eigenvalue problems for fractional ordinary differential equations
• A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations
• Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent-Miodek system with energy-dependent Schrödinger potential
• Preconditioned GMRES method for a class of Toeplitz linear systems in fractional eigenvalue problems
• A fractional order approach to modeling and simulations of the novel COVID-19
• Functional Fractional Calculus
• Numerical Methods for Large Eigenvalue Problems
• On the numerical solution of fractional Sturm–Liouville problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The Davidson Method
• Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation
• Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform
• An Augmented-RBF Method for Solving Fractional Sturm--Liouville Eigenvalue Problems
• Fractional Calculus
• The principle of minimized iterations in the solution of the matrix eigenvalue problem