Bifurcation points computation of the diffusion-reaction equations

Gh Juncu, S. Bildea

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper investigates the computation of the simple bifurcation points, the double bifurcation points and the Hopf bifurcation points for diffusion-reaction equations discretized with orthogonal collocation. Both the direct and indirect methods are used. The test problems selected are well-known diffusion-reaction equations (catalyst pellet and 2-D thermal explosion). The results show that orthogonal collocation can be used successfully in solving bifurcation problems.

Original languageEnglish
Pages (from-to)1059-1062
Number of pages4
JournalComputers and Chemical Engineering
Volume16
Issue number12
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

Bifurcation (mathematics)
Hopf bifurcation
Explosions
Catalysts
Hot Temperature

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Control and Systems Engineering

Cite this

Bifurcation points computation of the diffusion-reaction equations. / Juncu, Gh; Bildea, S.

In: Computers and Chemical Engineering, Vol. 16, No. 12, 1992, p. 1059-1062.

Research output: Contribution to journalArticle

Juncu, Gh ; Bildea, S. / Bifurcation points computation of the diffusion-reaction equations. In: Computers and Chemical Engineering. 1992 ; Vol. 16, No. 12. pp. 1059-1062.
@article{923fa73ef2da4a54905d23d21bcf6226,
title = "Bifurcation points computation of the diffusion-reaction equations",
abstract = "This paper investigates the computation of the simple bifurcation points, the double bifurcation points and the Hopf bifurcation points for diffusion-reaction equations discretized with orthogonal collocation. Both the direct and indirect methods are used. The test problems selected are well-known diffusion-reaction equations (catalyst pellet and 2-D thermal explosion). The results show that orthogonal collocation can be used successfully in solving bifurcation problems.",
author = "Gh Juncu and S. Bildea",
year = "1992",
doi = "10.1016/0098-1354(92)80023-3",
language = "English",
volume = "16",
pages = "1059--1062",
journal = "Computers and Chemical Engineering",
issn = "0098-1354",
publisher = "Elsevier",
number = "12",

}

TY - JOUR

T1 - Bifurcation points computation of the diffusion-reaction equations

AU - Juncu, Gh

AU - Bildea, S.

PY - 1992

Y1 - 1992

N2 - This paper investigates the computation of the simple bifurcation points, the double bifurcation points and the Hopf bifurcation points for diffusion-reaction equations discretized with orthogonal collocation. Both the direct and indirect methods are used. The test problems selected are well-known diffusion-reaction equations (catalyst pellet and 2-D thermal explosion). The results show that orthogonal collocation can be used successfully in solving bifurcation problems.

AB - This paper investigates the computation of the simple bifurcation points, the double bifurcation points and the Hopf bifurcation points for diffusion-reaction equations discretized with orthogonal collocation. Both the direct and indirect methods are used. The test problems selected are well-known diffusion-reaction equations (catalyst pellet and 2-D thermal explosion). The results show that orthogonal collocation can be used successfully in solving bifurcation problems.

UR - http://www.scopus.com/inward/record.url?scp=0026965567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026965567&partnerID=8YFLogxK

U2 - 10.1016/0098-1354(92)80023-3

DO - 10.1016/0098-1354(92)80023-3

M3 - Article

VL - 16

SP - 1059

EP - 1062

JO - Computers and Chemical Engineering

JF - Computers and Chemical Engineering

SN - 0098-1354

IS - 12

ER -