On Numerical Solutions of Partial Differential Equations by the Decomposition Method
نویسنده
چکیده
We present a reliable algorithm for solving one-dimensional system of nonlinear partial differential equations. We investigate the numerical solution of this problem by using Adomian decomposition method (ADM). The solution is calculated in the form of a series with easily computable components. We prove the convergence of the ADM applied to nonlinear heat equation. Numerical experiments are presented for a set of nonlinear problems from the literature.
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