[PDF] Top 20 The application of finite element method in burgers’ equation

... difference method (FDM) is the simplest method for the solution of boundary value ...solutions. Finite Element Method (FEM) was introduced which will produce better accuracy ... See full document

... differential equation based optimal control problems are not only important but also very challenging problems which usually involve high storage requirements, hard optimization and solution ...finite element ... See full document

... the Burgers‘ equation. This equation is one of the very few nonlinear partial differential equations which can be solved exactly for the restricted set of initial ...the equation has drawn ... See full document

... (1970) method to get graphical illustration of the mathematical solution for horizontal water ...the method of singular perturbation ...the finite element ...differential equation as ... See full document

... integral equation method and show its performance for the studied ...this method to the finite element ...integral equation is developed in Section 2; an application ... See full document

... Differential equations have wider applications in various fields of engineering and science disciplines. Generally, these are used to model variations of any physical quantity (temperature, pressure, displacement, ... See full document

... viscous Burgers’ equation is an example of an equation that has unstable Galerkin finite element approximation for the convection-dominated ...stabilized finite element ... See full document

... stochastic finite difference methods [4], and stochastic finite element methods ...stochastic finite element methods (SSFEM) ... See full document

... viscous Burgers equation is a form of the Navier-Stokes equations having a known form for the exact ...differential equation in fluid dynamics and various physical applications ... See full document

... STCFE method to study the heat ...wave equation by means of the STCFE ...STCFE method was used for solving the D viscoelastic wave equation, which is different to and far more complex than the ... See full document

... used Burgers’ equation to develop new algorithms and to test various existing ...the Burgers’ equations into parabolic partial differential ...nonlinear Burgers’ equation directly ... See full document

... (POD) method is a very useful tool to reduce the number of un- knowns for numerical models and ease the truncated error amassing in numerical calcu- ...POD method for partial differential equations have been ... See full document

... In this paper, we study the controllability problem of the semi-discrete internally controlled one-dimensional wave equation with the finite element method. We derive the observability inequality and ... See full document

... The Zakharov-Kuznetsov (ZK) equation is a generalization of the Korteweg-de Vries (KdV) equation. It was obtained by Zakharov and Kuznetsov [] to describe the behavior of weakly nonlinear ion-acoustic ... See full document

... the equation of the deflected axis of a beam by finite element ...method. Finite element method has the advantage of evaluating deflection at various nodal or mesh points ... See full document

... a method that ’ticks all the boxes’. By this, we mean a method that provides stable results while not smearing the sharp layers appearing in the ...SUPG method (cf. [10, 34]) has been accepted as an ... See full document

... the finite element method is used to analyze the characteristics of the water-lubricated thrust ...corresponding finite elements are derived from the turbulent Reynolds equation and ... See full document

... - finite element method which combine the approximating Fourier and finite element method, is applied to the Dirichlet problem of the Poisson equation in Axisymmetric ... See full document

... element method (called the splitting positive definite mixed finite element procedure) for treating the pressure equation of parabolic type in a nonlinear parabolic system which ... See full document

... The paper is organized as follows. In Section 2 we recall the convection-diffusion problem under considera- tion and the Streamline Diffusion Finite Element Method. In Section 3 we define a ... See full document