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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2010
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| 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 |
| Summary: | 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. |
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