Bahrami, M., Foroutan, M. (2009). Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2(2), 21-28.
Mohammad Amin Bahrami; Mehrdad Foroutan. "Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2, 2, 2009, 21-28.
Bahrami, M., Foroutan, M. (2009). 'Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2(2), pp. 21-28.
Bahrami, M., Foroutan, M. Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2009; 2(2): 21-28.
Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method
1Lecturer, Islamic Azad University, Ravansar Branch
2Assistant Professor, Department of Mechanical Engineering, Razi University, Kermanshah
Abstract
Meshfree Collocation Method is used to solve linear two-dimensional problems. This method differs from weak form methods such as Galerkin method and no cellular networking and no numerical integration. Therefore, this method has no constraints such as the integration accuracy and the integration CPU time, and equations can be isolated directly from the strong form of governing PDE. The fundamental problem of this method is unstable solution especially in the case, including derivative boundary conditions. In this paper hermite type shape functions are used to impose boundary conditions. These shape functions have improved the solution accuracy. also, In this paper effects of various parameters such as type weight functions, order based vector, dilation parameter, distribution nodal on the solution accuracy have been studied.
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