Software for the Frobenius method for the solution of nonlinear differential equations
type: Item
instance of: scholarly article
title: Software for the Frobenius method for the solution of nonlinear differential equations
zbMATH Open document ID: 0633.65071
DOI: 10.1016/0307-904X(87)90008-4
author: F. Z. El-Halafawy
author: M. Eissa
published in: Applied Mathematical Modelling
publication date: 1987-01-01T00:00:00Z
review text: An algorithm and a program are described for constructing a polynomial solution of the 2nd order differential equation \(y''+w^ 2y+a sgn (y)y^{n/m}=f(t),\) where \(m=2,3\) and \(n=1,2,...,6\) while f(t) is a polynomial. Two other similar types of equations are considered as well.
reviewed by: V.A.Velev
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34-04
zbMATH DE Number: 4030868
zbMATH Keywords: Frobenius method
zbMATH Keywords: nonlinear second order differential equation
zbMATH Keywords: system response
zbMATH Keywords: forced response
zbMATH Keywords: algorithm
zbMATH Keywords: program
MaRDI profile type: Publication
cites work: Q5719651
cites work: Q5674335
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cites work: A power series method for solving nonlinear boundary value problems.
cites work: Hybrid numerical methods for periodic initial value problems involving second-order differential equations
description: scientific article; zbMATH DE number 4030868