Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations

Abstract In this work, a numerical technique for solving general nonlinear ordinary differential equations (ODEs) with variable coefficients and given conditions is introduced. The collocation method used rational Chebyshev (RC) functions as matrix discretization to treat the ODEs. Rational (RCC) transform problem system of algebraic equations. discussion order convergence RC proposed base specified by its ability deal boundary independent that may tend infinity easy manner without divergence. tested verified two examples, then applied four real life applications models. Also, comparison our results other methods introduced study applicability accuracy.