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Quasilinearization and the methods of finite difference and initial values

✍ Scribed by Charles A. Baird

Book ID
105006832
Publisher
Springer
Year
1970
Tongue
English
Weight
604 KB
Volume
6
Category
Article
ISSN
0022-3239

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πŸ“œ SIMILAR VOLUMES

Generalized Quasilinearization Method an
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We apply the generalized quasilinearization method of V. Lakshmikantham Ž Ž . . Nonlinear Anal. 27 1996 , 223᎐227 and the extended method of R. N. Mohapa-Ž . tra, K. Vajravelu, and Y. Yin J. Optim. Theory Appl., in press to the first order Ž . X Ž . Ž . Ž . initial value problem IVP for short x t s

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## Abstract The conventional central finite difference equations for the plane stress extension of flat plates are derived as a localized Ritz process. A dual differential‐variational discretization of this type enables common classification of the finite difference and finite element methods. Also

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This paper presents six combinations of the Ritz-Galerkin method and the finite difference method for solving elliptic boundary value problems. Not only optimal convergence rates of solutions but also superconvergence rates of solution derivatives can be achieved. The non-conforming combination and