A Decomposition Method for Solving the Nonlinear Klein–Gordon Equation
✍ Scribed by E.Y. Deeba; S.A. Khuri
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 286 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
and b is real, g is a given nonlinear function, and f is a known function.
In this paper, Adomian's decomposition scheme is presented as an alternate method for solving the nonlinear Klein-Gordon equa-
The method is demonstrated by several examples. Comparing cal models in quantum mechanics [23][24] and it occurs in the scheme with existing collocation, finite difference and finite relativistic physics [20][21] as a model of dispersive pheelement techniques shows that the present approach is highly accunomena. There are numerous papers dealing with the exisrate and converges rapidly.
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In this paper we consider a two-compartment model and analyze the underlying nonlinear system of differential equations that arises from studying such models. In particular, we apply a decomposition method to solve the system numerically and then compare the results with other well-known methods suc