Picard and Adomian Solutions of a Nonlocal Cauchy Problem of a Delay Dierential Equation
E. A. A. Ziada *
Nile Higher Institute for Engineering and Technology (Basic Science), Mansoura, Egypt.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Nonlocal cauchy problem, existence, uniqueness, error analysis, Adomian method, Picard method
How to Cite
Ziada, E. A. A. 2021. “Picard and Adomian Solutions of a Nonlocal Cauchy Problem of a Delay Dierential Equation”. Asian Research Journal of Mathematics 17 (8):30-43. https://doi.org/10.9734/arjom/2021/v17i830321.
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