An Analysis of Two-Dimensional Flow Through a Water Reservoir Using Mathematical Approach

Abstract

Optimal Variational Iteration Method (OVIM) is Variational Iteration Method (VIM) coupled with auxiliary parameter h. In this paper, we have discussed a hydrological problem with pressure distribution phenomenon solved with Optimal Variational Iteration Method (OVIM). In the framework of Optimal Variational Iteration Method (OVIM), the auxiliary parameter h, that is convergence controlling parameter is the primary tool which guarantees the convergence of said technique. Moreover, the convergence is obtained by so-called residual error method. Results shows that the reliability of the method with the least error and provide the required solution to the pressure distribution of water in a water reservoir in initial four iteration.

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