A numerical method for solving differential equations with derivatives of any order
type: Item
instance of: scholarly article
title: A numerical method for solving differential equations with derivatives of any order
zbMATH Open document ID: 0769.65036
author: R. A. Bun'
author: E. D. Vasil'ev
published in: Computational Mathematics and Mathematical Physics
publication date: 1993-06-29T00:00:00Z
review text: An implicit system of nonlinear differential equations \[ f_ k(\{x_ j^{(r)}\},\;j = 1,2,\dots,n;\;r = 0,1,\dots,s_{jk};t) = 0,\quad k = 1,2,\dots,n\tag{1} \] is studied. A numerical method for the solution of (1) is proposed. It is based on Hermite interpolation. The system (1) is not transformed into a system of differential equations of the first order.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 220244
zbMATH Keywords: implicit system
zbMATH Keywords: nonlinear
zbMATH Keywords: Hermite interpolation
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 220244