The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
نویسندگان
چکیده
1 Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R. v. Ferrata 1, 27100 Pavia. Italy. ([email protected]). 2 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie. Bôıte courrier 187, 75252 Paris Cedex 05. France. ([email protected]). 3 Laboratoire de Mathématiques, Université Paris-Sud. Bâtiment 425, 91405 Orsay. France. ([email protected]).
منابع مشابه
A numerical method for discrete fractional--order chemostat model derived from nonstandard numerical scheme
In this paper, the fractional--order form of three dimensional chemostat model with variable yields is introduced. The stability analysis of this fractional system is discussed in detail. In order to study the dynamic behaviours of the mentioned fractional system, the well known nonstandard (NSFD) scheme is implemented. The proposed NSFD scheme is compared with the forward Euler and ...
متن کاملLocal Analysis of Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem
In this paper we will present the local stability analysis and local error estimate for the local discontinuous Galerkin (LDG)method, when solving the time-dependent singularly perturbed problems in one dimensional spacewith a stationary outflow boundary layer. Based on a general framework on the local stability, we obtain the optimal error estimate out of the local subdomain, which is nearby t...
متن کاملConvergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are...
متن کاملVerification and Validation of Common Derivative Terms Approximation in Meshfree Numerical Scheme
In order to improve the approximation of spatial derivatives without meshes, a set of meshfree numerical schemes for derivative terms is developed, which is compatible with the coordinates of Cartesian, cylindrical, and spherical. Based on the comparisons between numerical and theoretical solutions, errors and convergences are assessed by a posteriori method, which shows that the approximations...
متن کاملThe Fourier spectral method for the Cahn-Hilliard equation
In this paper, a Fourier spectral method for numerically solving Cahn-Hilliard equation with periodic boundary conditions is developed. We establish their semi-discrete and fully discrete schemes that inherit the energy dissipation property and mass conservation property from the associated continuous problem. we prove existence and uniqueness of the numerical solution and derive the optimal er...
متن کامل