On the oscillatory solutions of nonlinear hyperbolic differential equations by the decomposition method. (English) Zbl 1058.65109
Summary: The decomposition method for the approximate solutions of the linear and nonlinear deterministic or stochastic differential equations, is given by the decomposition (Adomian) is investigated in general. In applying the method to the nonlinear deterministic hyperbolic equations, the concept of the Adomian polynomials is explained and one application of the method given for the general state is obtained.
MSC:
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
| 35L70 | Second-order nonlinear hyperbolic equations |
References:
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