FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions
An algorithm for solution of a nonlinear eigenvalue problem with discontinuous eigenfunctions is developed. The numerical technique is based on a perturbation of the coefficients of differential equation combined with the Adomian decomposition method for the nonlinear term of the equation. The propo...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/7247 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions / V.L. Makarov, N.O. Rossokhata // Нелінійні коливання. — 2007. — Т. 10, № 1. — С. 126-143. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | An algorithm for solution of a nonlinear eigenvalue problem with discontinuous eigenfunctions is developed. The numerical technique is based on a perturbation of the coefficients of differential equation combined with the Adomian decomposition method for the nonlinear term of the equation. The proposed approach provides an exponential convergence rate dependent on the index of the trial eigenvalue and on the transmission coefficient. Numerical examples support the theory. |
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