Comparison the solutions for some kinds of differential equations using iterative methods. Issue 5 (4th July 2021)

• Record Type: Journal Article
• Authors: Altaie, Huda Omran
• Is Part Of: Journal of interdisciplinary mathematics. Volume 24:Issue 5(2021)
• Page Start: 1113
• Page End: 1118
• Publication Date: 2021-07-04
• Subjects: 65F10 -- 65F35 -- 65L05 -- 65L12; Physical models -- Ordinary differential equations -- Iterative methods -- Non perturbed problems -- Taylor series method -- Parabolic partial differential equation; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2020.1790741
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: This manuscript presents several applications for solving special kinds of ordinary and partial differential equations using iteration methods such as Adomian decomposition method (ADM), Variation iterative method (VIM) and Taylor series method. These methods can be applied as well as to solve nonperturbed problems and 3rd order parabolic PDEs with variable coefficient. Moreover, we compare the results using ADM, VIM and Taylor series method. These methods are a commination of the two initial conditions.