Simple and accurate approach for solving of nonlinear heat convective-radiative equation in fin by using the collocation method and comparison with HPM and VIM
Collocation Method (CM) such as analytical technique, which does not need small parameters is here used to evaluate the analytical approximate solutions of the nonlinear heat transfer equation. The obtained results from Collocation Method are compared with other analytical techniques such a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2014-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841403159R.pdf |
| Summary: | Collocation Method (CM) such as analytical technique, which does not need
small parameters is here used to evaluate the analytical approximate
solutions of the nonlinear heat transfer equation. The obtained results from
Collocation Method are compared with other analytical techniques such as
Homotopy Perturbation Method (HPM) and Variation Iteration Method (VIM).
Also, boundary value problem (BVP) is applied as a numerical method for
validation. The results reveal that the Collocation Method is very effective,
simple and more accurate than other techniques. Also, it is found that this
method is a powerful mathematical tool and can be applied to a large class of
linear and nonlinear problems arising in different fields of science and
engineering especially at some heat transfer equations. |
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| ISSN: | 1450-5584 |