AN EIGENVALUE PROBLEM WITH NONLINEAR DEPENDENCE OF THE EIGENVALUE

B. R. Makaveev; Mikhail D. Mikhailov

doi:10.1615/HybMethEng.v3.i4.70

Hybrid Methods in Engineering

Editors-in-Chief: Renato M. Cotta (open in a new tab) Mikhail D. Mikhailov (open in a new tab)

Published 4 issues per year

ISSN Print: 1099-2391

ISSN Online: 2641-7359

AN EIGENVALUE PROBLEM WITH NONLINEAR DEPENDENCE OF THE EIGENVALUE

Volume 3, Issue 4, 2001, 6 pages

DOI: 10.1615/HybMethEng.v3.i4.70

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B. R. Makaveev
Ronan Engineering, Woodland Hills, CA, USA

Mikhail D. Mikhailov
Applied Mathematics Center, PO Box 384, Sofia, Technical University, Sofia, Bulgaria; and Mechanical Engineering Department—EE/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, CP 68.503, Rio de Janeiro, RJ, 21945-970, Brasil

ABSTRACT

Mathematica software has been used to solve the eigenvalue problem y''[x] + (λ + λ²x²)y[x] = 0, y[−1] = 0, y[1] = 0. A table of the first 50 eigenvalues with 25 accurate digits is presented. A Mathematica function is given that computes a desired eigenvalue with specified accuracy.

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