Abstract
This paper considers the behaviour and numerical method of the solutions of a class of nonlinear fourth order equations. Under some conditions on a(x), r(x,u) and the domain, the problem at least exists three solutions. Based on the difference method the nontrivial solutions can be found numerically.
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References
A. H. Hayfeh Perturbation Methods 1973.
Shen Yao-Tian Science Bulletin 19. 1984. (in Chinese)
A. A. Samarskii The Theory of Difference Schemes 1983. (in Russian).
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© 1987 Springer-Verlag
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Pan, Zx. (1987). A numerical method for a class of nonlinear fourth order equations. In: Zhu, YI., Guo, By. (eds) Numerical Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 1297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078544
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DOI: https://doi.org/10.1007/BFb0078544
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18730-1
Online ISBN: 978-3-540-48126-3
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