A new numerical method based on Daftardar-Gejji and Jafari technique for solving differential equations

Abstract

In the present work we introduce a new numerical method (NNM) for solving differential equations. We apply Daftardar-Gejji and Jafari technique on implicit trapezium formula to derive new method. We discuss error, stability and convergence analysis of the proposed method and also provide some software packages based on this method. We solve various types of equations using this method and show that the results are matching with exact solutions.