Numerical solutions for (2+1)-dimensional ZK-MEW equation using linear barycentric rational collocation method

Abstract

Numerical solutions for Zakharov-Kuznetsov modified equal width (ZK-MEW) equation are investigated according to linear barycentric rational collocation method (LBRCM). Firstly, by using the Newton linearization method, the nonlinear part is linearized. Then, with help of LBRCM and differentiation matrices, the expression of matrix form for the discrete linear ZK-MEW equation is obtained, which can be easily solved by Matlab. Subsequently, with the aid of barycentric interpolation estimate, convergence rate for numerical solution is shown. Finally, through illustrating two numerical examples, the validity of the theoretical results is verified.