THE RICCATI DIFFERENTIAL EQUATIONS AND THE ADOMIAN DECOMPOSITION METHOD
Abstract
In this paper, the Adomian decomposition method is applied to the solution of Riccati differential equations. The numerical results obtained by this way have been compared with the exact solution to show that the Adomian method is a powerful method for the solution of non-linear differential equations. The method does not need linearization, weak non-linearity assumptions or perturbation theory.
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