Numerical Simulation of Modified Kortweg-de Vries Equation by Linearized Implicit Schemes
Numerical Simulation of Modified Kortweg-de Vries Equation by Linearized Implicit Schemes
In this paper, we are going to derive four numerical methods for solving the Modified Kortweg-de Vries (MKdV) equation using fourth Pade approximation for space direction and Crank Nicolson in the time direction. Two nonlinear schemes and two linearized schemes are presented. All resulting schemes will be analyzed for accuracy …