Journal of Applied Mathematics
Volume 1 (2001), Issue 1, Pages 29-37
doi:10.1155/S1110757X01000067
Abstract
By considering the Adomian decomposition scheme, we
solve a generalized Boussinesq equation. The method does not need
linearization or weak nonlinearly assumptions. By using this
scheme, the solutions are calculated in the form of a convergent
power series with easily computable components. The decomposition
series analytic solution of the problem is quickly obtained by
observing the existence of the self-canceling “noise” terms
where sum of components vanishes in the limit.