Basic Study on Element-Free Galerkin Method. 1st Report. Application to Ordinary Differential Equation.
نویسندگان
چکیده
منابع مشابه
A Discontinuous Galerkin Method for Higher-Order Ordinary Differential Equations Applied to the Wave Equation
(ABSTRACT) We propose a new discontinuous finite element method for higher-order initial value problems where the finite element solution exhibits an optimal convergence rate in the L 2 norm. We further show that the q-degree discontinuous solution of a differential equation of order m and its first m − 1 derivatives are strongly O(∆t 2q+2−m) superconvergent at the end of each step. We also est...
متن کاملElement free Galerkin method for crack analysis of orthotropic plates
A new approach for analyzing cracked problems in 2D orthotropic materials using the well-known element free Galerkin method and orthotropic enrichment functions is proposed. The element free Galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. In this study, element free Galerkin is extrinsically enriched by the recently developed crack-tip orthot...
متن کاملApplication of differential transformation method to the fisher equation.
In this paper, the dierential transform method (DTM) is applied to the Fisherequation. This method can be used to obtain the exact solutions of Fisherequation. Finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. These resultsshow that this technique is easy to apply.
متن کاملApplication of He’s Variational Iteration Method to Abelian Differential Equation
In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation...
متن کاملNonlinear Cable equation, Fractional differential equation, Radial point interpolation method, Meshless local Petrov – Galerkin, Stability analysis
The cable equation is one the most fundamental mathematical models in the neuroscience, which describes the electro-diffusion of ions in denderits. New findings indicate that the standard cable equation is inadequate for describing the process of electro-diffusion of ions. So, recently, the cable model has been modified based on the theory of fractional calculus. In this paper, the two dimensio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
سال: 1995
ISSN: 0387-5008,1884-8338
DOI: 10.1299/kikaia.61.2302