Barycentric Lagrange interpolation iterative method for solving extended Fisher-Kolmogorov equation

In this paper, the barycentric Lagrange interpolation iteration method is proposed to solve the extended FisherKolmogorov equation. Direct linearized iterative method, partial linearized iterative method and Newton linearized iterative method are introduced to deal with the nonlinear term of the equation. Then the nonlinear equation is transformed into a linear equation to solve the extended Fisher-Kolmogorov equation. The unknown function is approximated by barycentric Lagrange interpolation basis function, and the differential matrix form is obtained from iterative scheme. By combining the equation with the initial and boundary conditions, the numerical solution of the equation can be solved iteratively. Finally, the convergence analysis of the barycentric Lagrange interpolation iteration method is given, and numerical examples show that the proposed method is convergent and has higher numerical accuracy.