Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations

In this study, based on barycentric rational interpolation functions, three collocation methods are presented for a class of nonlinear parabolic partial differential equations (PDEs). Corresponding algebraic equations are obtained. Numerical examples involving the Fitzhugh-Nagumo equation, Heat equation and Runge's example are reported to illustrate the effectiveness of the proposed techniques.