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

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 th...

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Main Authors: Hasan, Talib Hashim, Chowdhury, Md. Sazzad Hossien
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
Online Access:http://irep.iium.edu.my/2557/
http://irep.iium.edu.my/2557/
http://irep.iium.edu.my/2557/1/Taylor-newton_homotopy_method_for_computing_the_depth_of_flow_rate_for_a_channel.pdf
id iium-2557
recordtype eprints
spelling iium-25572013-07-15T04:48:39Z http://irep.iium.edu.my/2557/ Taylor-newton homotopy method for computing the depth of flow rate for a channel Hasan, Talib Hashim Chowdhury, Md. Sazzad Hossien QA76 Computer software 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. 2010-02 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2557/1/Taylor-newton_homotopy_method_for_computing_the_depth_of_flow_rate_for_a_channel.pdf 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. http://www.pcoglobal.com/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Hasan, Talib Hashim
Chowdhury, Md. Sazzad Hossien
Taylor-newton homotopy method for computing the depth of flow rate for a channel
description 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.
format Conference or Workshop Item
author Hasan, Talib Hashim
Chowdhury, Md. Sazzad Hossien
author_facet Hasan, Talib Hashim
Chowdhury, Md. Sazzad Hossien
author_sort Hasan, Talib Hashim
title Taylor-newton homotopy method for computing the depth of flow rate for a channel
title_short Taylor-newton homotopy method for computing the depth of flow rate for a channel
title_full Taylor-newton homotopy method for computing the depth of flow rate for a channel
title_fullStr Taylor-newton homotopy method for computing the depth of flow rate for a channel
title_full_unstemmed Taylor-newton homotopy method for computing the depth of flow rate for a channel
title_sort taylor-newton homotopy method for computing the depth of flow rate for a channel
publishDate 2010
url http://irep.iium.edu.my/2557/
http://irep.iium.edu.my/2557/
http://irep.iium.edu.my/2557/1/Taylor-newton_homotopy_method_for_computing_the_depth_of_flow_rate_for_a_channel.pdf
first_indexed 2023-09-18T20:10:10Z
last_indexed 2023-09-18T20:10:10Z
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