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Single step formulas and multi-step formulas of the integration method for solving the initial value problem of ordinary differential equation

Author(s)
Podisuk, Maitree
Chundang, Ungsana
Sanprasert, Wannaporn
Date Issued
July 15, 2007
Type
Article
DOI
10.1016/j.amc.2007.02.024
Abstract
Adam-Bashforth method and Adam-Moulton method are two known multi-step methods for finding the numerical solution of the initial value problem of ordinary differential equation. These two methods used the Newton backward difference method to approximate the value of f (x, y) in the integral equation which is equivalent to the given differential equation. © 2007 Elsevier Inc. All rights reserved.
Citation
Applied Mathematics and Computation, 190(2), 1438-1444, 2007
Subjects

Adam-Bashforth

Adam-Moulton

Initial value problem...

Integration method

Multi step

Newton backward

Newton-Cotes

Single step

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