A new meshless method for convection diffusion boundary value problems

作者：Tong Xiao Hong^*; Qin Xin Qiang

来源：Chinese Journal of Computational Mechanics, 2012, 29(5): 716-720.

• Basis functions
• Collocation method
• Convection diffusion
• Convection diffusion problems
• Discretizations
• Implicit schemes
• Mesh-less methods
• Meshless techniques
• Numerical example
• Numerical oscillation

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.

• 出版日期2012