
Picard and Adomian Solutions of a Nonlocal Cauchy Problem of a Delay Dierential Equation
Author(s) -
E. A. A. Ziada
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i830321
Subject(s) - adomian decomposition method , mathematics , uniqueness , initial value problem , convergence (economics) , cauchy problem , mathematical analysis , differential equation , economics , economic growth
In this paper, two methods are used to solve a nonlocal Cauchy problem of a delay differential equation; Adomian decomposition method (ADM) and Picard method. The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are studied.