We discuss the application of Adomian decomposition method to solve a parabolic differential equation which is a review as well as fix of some errors contained in the article of Javidi and Golbabai entitled Adomian ...

This paper discusses a technique based on an interpolating polynomial to approximate a derivative appearing in the two-step iterative method, so that a two-step iterative method free from derivative is obtained. It is ...

We discuss a derivation of a high-order iterative method based on Taylor expansion of a nonlinear function. The method is a special case of the method derived by Germani, A., et al. in Journal of Optimization Theory and ...

This paper discusses a derivation of the corrected Simpson-like method using a difference operator to approximate a definite integral, as a review of the article Ujevi ́, N. & A. J Roberts [ANZIAM Journal, 45 (2004): 41–56]. ...