Taylor-newton homotopy method for computing the depth of flow rate for a channel

Hasan, Talib Hashim and Chowdhury, Md. Sazzad Hossien (2010) Taylor-newton homotopy method for computing the depth of flow rate for a channel. In: Global Conference on Power Control and Optimization, 2-4 February 2010, Gold Coast, Australia.

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Abstract

Homotopy approximation methods (HAM) can be considered as one of the new methods belong to the general classification of the computational methods which can be used to find the numerical solution of many types of the problems in science and engineering. The general problem relates to the flow and the depth of water in open channels such as rivers and canals is a nonlinear algebraic equation which is known as continuity equation. The solution of this equation is the depth of the water. This paper represents attempt to solve the equation of depth and flow using Newton homotopy based on Taylor series. Numerical example is given to show the effectiveness of the purposed method using MATLAB language.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	5604/2557
Uncontrolled Keywords:	Newton homotopy, Taylor-Newton homotopy method, open channel, MATLAB.
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	14 Sep 2011 11:37
Last Modified:	15 Jul 2013 12:48
URI:	http://irep.iium.edu.my/id/eprint/2557

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