Abstract
We describe a new iterative technique based on domain decomposition optimal homotopy analysis method for solving singular boundary value problems arising in various physical models in applied science and technology. This method produces approximate solution in the form of a series with easily computable components. The method is analyzed for convergence. Some computational examples are presented to illustrate the applicability and efficiency of the proposed method. The advantage in the domain decomposition optimal homotopy analysis method as compared with the classical optimal homotopy analysis method is that fewer number of solution components are required to obtain similar results. Furthermore, this method shows its advantage over the spline method and the finite difference methods.
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