On a new reliable algorithm
type: Item
instance of: scholarly article
title: On a new reliable algorithm
zbMATH Open document ID: 1207.34018
DOI: 10.1155/2009/710250
author: A. K. Alomari
author: Roslinda Nazar
author: M. S. M. Noorani
published in: International Journal of Differential Equations
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/223188
review text: Summary: An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals; that is, HAM is converted into a hybrid numeric-analytic method called the multistage HAM (MSHAM). Comparisons between the MSHAM solutions and the fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for nonlinear systems of ordinary differential equations.
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5816433
Wikidata QID: Q58647810
MaRDI profile type: Publication
OpenAlex ID: W1996203313
cites work: Q5638571
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description: scientific article; zbMATH DE number 5816433