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ISSN: 1099-2391 Print
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Pages: 192
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AN EIGENVALUE PROBLEM WITH NONLINEAR DEPENDENCE OF THE EIGENVALUE
B. R. Makaveev
Ronan Engineering, Woodland Hills, CA, USA
Mikhail D. Mikhailov
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.
pages 6
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Volume 4, 2002 Volume 3, 2001 Volume 2, 2000 Volume 1, 1999
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