This paper considers the numerical solution of a class of boundary problems using the Adomian decomposition method. The method is applied to non-linear differential equations with initial and boundary conditions. Concludes that this method produces very good results.
Considers the Adomian decomposition method to be a powerful technique that can solve efficiently a large class of linear and nonlinear differential equations. Describes a general method for approximating the solution of the Laplace equation with Dirichlet-boundary conditions and which can be applied to a large class of problems.
In this study, the aim is to solve a class of boundary systems, using the Adomian decomposition method. This method gave very good results for solving algebraic, differential integral and partial differential equations.
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