In this paper we develop a fast and accurate algorithm for the solution of special fourth-order boundary value problems with two-point boundary conditions. A modified form of the Adomian decomposition method is applied to construct the numerical solution for such problems. The new approach has two distinct features (i) it provides the solution in a rapidly convergent series, and (ii) it also requires less computational effort. The scheme is tested on two linear and nonlinear problems. The obtained results demonstrate reliability of the algorithm.
International Journal of Computer Mathematics
Volume 79, 2002 - Issue 3
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