Crank–Nicolsonmethod Crank–Nicolson method From Wikipedia, the free encyclopedia
Note that this is an implicit method : to get the "next" value of u in time, a system of algebraic equations must be solved. If the partial differential equation is nonlinear, the discretization will also be nonlinear so that advancing in time will involve the solution of a system of ...
finite difference, finite element boundary element techniques and direct variational method to solve Burgers equation [5]-[21]. E. Benton and Platzman [22] surveyed exact solution of one dimensional Burgers equation. In 1997 D.S. Zhang, G. W. Wei and D. J. Kouri [23] solved it for ...
The present method performs well. To our best knowledge no one has solved Burgers' equations using this scheme. The proposed scheme can be extended for solving non-linear problems arising in various branches of engineering and science. 展开 ...
Crank-Nicolson methodHEAT-TRANSFERVISCOELASTIC FLUIDMHD FLOWMODELNANOFLUIDTIMEThe concept of fractional derivative is used to solve a variety of viscoelastic fluid problems. However, researchers mostly overlooked the consequences of nonlinear convection in the fractional viscoelastic fluid models and were ...
来自 知网 喜欢 0 阅读量: 26 作者: AA Porida 摘要: In this paper,we discuss a numerical method for solving non-linear partial Differen tial equation ut= uxx+ au and generalize some results in [1]. 关键词: Crank-Nicolson metbod stability 被引量: 2 年份: 1997 ...
We have an improved smoothing strategy for the Crank–Nicolson method which is unique in achieving optimal order convergence for barrier option problems. Numerical experiments are discussed for one asset and two asset problems. Time evolution graphs are obtained for one asset problems to show how ...
Based upon the approximate Crank–Nicolson (CN) finite-difference time-domain method implementation, the unconditionally stable algorithm is proposed to investigate the wave propagation and transmission through extremely thin graphene layers. More precis
The present method performs well. To our best knowledge no one has solved Burgers' equations using this scheme. The proposed scheme can be extended for solving non-linear problems arising in various branches of engineering and science. 展开 ...
The method decouples the fully coupled Stokes-Darcy system into two smaller subphysics problems, which reduces the size of the linear systems to be solved, at each time step, and allows parallel computing of the two subphysics problems. It also decouples the computation of the velocity and ...