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| A new meshless method for convection diffusion boundary value problems |
| Received:July 12, 2011 Revised:December 18, 2011 |
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| DOI：10.7511/jslx20125013 |
| KeyWord:convection diffusion boundary value problems meshless method ridge basis function collocation method |
| Author | Institution |
| 童小红 |
西安理工大学 理学院, 西安 |
| 秦新强 |
西安理工大学 理学院, 西安 |
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| Abstract: |
| A new meshless method for convection diffusion boundary value problems is developed,which is based on the collocation method and ridge basis function. The method is applied to 1 and 2-dimensional problems to examine its appropriateness. According to numerical examples and the analysis,it is seen that the method of this paper can achieve satisfactory results. Moreover,this method can effectively reduce the numerical oscillations by using implicit scheme of the convection diffusion problems,and is a truly meshless technique without mesh discretization. |