Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

محمدامین  بهرامی ¹ (مربی، دانشکده مکانیک، دانشگاه آزاد اسلامی مرکز روانسر)
مهرداد  فروتن ² (استادیار، دانشکده مکانیک، دانشگاه رازی کرمانشاه)

Received: 2015-09-30 Accepted : 2015-09-30 Published : 2009-12-22

Keywords: Meshfree collocation method, Hermitian collocation method, Linear equations Derivative boundary conditions,

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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