A method of solving certain differential equations governing forced and free oscillations is proposed. The nonlinear differential equation governing such oscillations is linearized with the help of the Begenbauer polynomial approximation, and a one-term solution corresponding to the fundamental freq
Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications
✍ Scribed by Łukasz T. Stępień
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 410 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
3)σ model Classical Heisenberg model Born-Infeld-like equation a b s t r a c t
Certain nonlinear partial differential equations (NPDEs) can be decomposed into several more simple equations, which can possess enough general analytic solutions. This approach and some interesting kinds of solutions (obtained by using this method) of some NPDEs in physics will be presented. The presented approach is somewhat similar to the homogeneous balance method, however they are different.
📜 SIMILAR VOLUMES
AbstraetqWe discuss a direct formulation of the Tau Method in two dimensions which differs radically from former techniques in that no discretization is introduced in any of the variables. A segmented formulation in terms of Tau elements is discussed and applied to the numerical solution of nonlinea