Galerkin's procedure, quasilinearization, and nonlinear boundary-value problems
โ Scribed by C. P. Neuman; A. Sen
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 230 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0022-3239
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๐ SIMILAR VOLUMES
The sinc-Galerkin method is used to approximate solutions of nonlinear problems involving nonlinear second-, fourth-, and sixth-order differential equations with homogeneous and nonhomogeneous boundary conditions. The scheme is tested on four nonlinear problems. The results demonstrate the reliabili
Solutions to the general second order nonlinear boundary value problems, arising in many physical phenomena, such as dynamic programming, fluid flow over a solid object, and heat transfer in a solid andror adjacent to a solid body in a liquid, are obtained. Also, existence, uniqueness, and convergen
The method of generalized quasilinearization is extended to semilinear elliptic problems employing both the classical and variational approaches. The results discussed are very general and include several special cases of interest.