A new numerical method for solving high-order fractional eigenvalue problems

DOI10.1016/j.cam.2016.12.027zbMath1358.65051OpenAlexW2564300245MaRDI QIDQ508036

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.12.027

zbMATH Keywords

collocationCaputo derivativenumerical resultbackward substitution methodmethod of external excitationhigh-orderfractional eigenvalue problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) 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 (9)

Fractional Sturm–Liouville problems for Weber fractional derivatives ⋮ A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator ⋮ Jacobi-Davidson method for the second order fractional eigenvalue problems ⋮ Positive solutions for higher order nonlocal fractional differential equation with integral boundary conditions ⋮ A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains ⋮ Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations ⋮ Dynamic analysis of a plate on the generalized foundation with fractional damping subjected to random excitation ⋮ Positive solutions to nonlinear fractional differential equations involving Stieltjes integrals conditions ⋮ Numerical approximation to Prabhakar fractional Sturm-Liouville problem

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