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- W2024692743 abstract "The paper concerns the solution of non-linear system of equations arising while solving a steady gradually varied flow in an open channel network. To reduce the dimensions of final system the depths at each cross-section and the discharge at each branch are considered as unknowns. Newton and Picard iteration can suffer from non-convergent saw-tooth errors. An approach to improve and consequently to ensure the convergence of the Picard method is proposed. Using the average from two successive iterations suppresses the saw-teeth and gives a robust convergent iteration method to solve a steady gradually varied flow in any type of open channel network. The improvement in performance is confirmed by numerical tests. Copyright © 2004 John Wiley & Sons, Ltd." @default.
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- W2024692743 date "2004-02-11" @default.
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- W2024692743 title "Method to solve the non-linear systems of equations for steady gradually varied flow in open channel network" @default.
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- W2024692743 doi "https://doi.org/10.1002/cnm.671" @default.
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