...Abdullah Dawar; Hamid Khan; Muhammad Ullah Purpose In this article, the applications of the improved residual power series method (IRPSM) and its enhanced version incorporating Adomian polynomials (AP) to solve boundary value problems (BVPs) of higher orders are presented. Design/methodology...

... Adomian decomposition scheme and the Adomian polynomials for solving nonlinear differential equations. After that, for the fast calculation of the Adomian polynomials, an algorithm is presented based on Duan’s corollary and Rach’s rule. Then, MADM is discussed for the unequal step-size partitions...