Open AccessApplications Modified Adomian Decomposition Method for Solving the Second-Order Ordinary Differential Equations
Author(s) -
Ali H. Alkarawi,
Asst.Prof. Inaam R. Al-Saiq
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012155
Subject(s) - adomian decomposition method , mathematics , ordinary differential equation , mathematical analysis , differential equation , linear differential equation , decomposition method (queueing theory) , order (exchange) , series (stratigraphy) , decomposition , initial value problem , simple (philosophy) , paleontology , ecology , philosophy , finance , epistemology , economics , biology , discrete mathematics
In this paper, we will display an efficient application of the Modified Adomian Decomposition method (MADM) for solving linear and non-linear Singular initial value problem in the Second order ordinary differential physical equations such as the Schrödinger’s Equation, Hermit differential Equation and capacitance regulation equation. It is shown that the MADM efficency, simple, easy to use and accuracy because the series solutions converge to the specific answer for every problem if it exist or numerical solution if not exist.