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Application of the Galerkin and Collocation methods to solve a one-dimensional heat conduction problem
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| Organization: | National Institute of Applied Sciences and Technology |
| Department: | Chemical Engineering Department |
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2006-10-19
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This problem was presented in the excellent book by W. F. Ramirez, Computational Methods for Process Simulation, Second Edition, 1997, Butterworth Heinemann, Oxford. Here, we extend the author’s work by considering second order Galerkin and Collocation methods to solve a one-dimensional heat conduction problem. The heat conductivity is considered as a linear function of temperature. Numerical solutions are compared to the exact solution. We find perfect agreement between the three methods.
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Galerkin method, collocation method, one-dimensional heat conduction, variable heat conductivity, second order methods
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| ramirez411.nb (79.3 KB) - Mathematica Notebook [for Mathematica 5.2] |
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