Solution of linear differential equations by the method of divided differences
type: Item
instance of: scholarly article
title: Solution of linear differential equations by the method of divided differences
zbMATH Open document ID: 0848.65056
author: Luis Verde-Star
published in: Advances in Applied Mathematics
publication date: 1996-10-27T00:00:00Z
review text: The paper presents a direct method for solving linear ordinary differential equations with constant coefficients by means of divided difference functionals. The explicit formulas for the solution of an initial value problem, which are well known from Laplace transform or operational calculus, are obtained without such means. The method is also applied to systems and matrix differential equations.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 885461
zbMATH Keywords: method of divided differences
zbMATH Keywords: explicit solution
zbMATH Keywords: constant coefficients
zbMATH Keywords: direct method
zbMATH Keywords: systems
zbMATH Keywords: matrix differential equations
reviewed by: Lothar Berg
MaRDI profile type: Publication
full work available at URL: aama.1995.1023
OpenAlex ID: W2046504451
DOI: 10.1006/AAMA.1995.1023
description: scientific article; zbMATH DE number 885461