Treffer: galerkin finite element method for forced burgers equation: Galerkin finite element method for forced Burgers' equation
Title:
galerkin finite element method for forced burgers equation: Galerkin finite element method for forced Burgers' equation
Authors:
Publisher Information:
University of Guilan, Faculty of Mathematical Sciences, Rasht, Iran, 2019.
Publication Year:
2019
Subject Terms:
forced Burgers' equation, von Neumann analysis, Taylor series, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, cubic B-splines, Galerkin finite element method, Numerical computation using splines
Document Type:
Fachzeitschrift
Article<br />Other literature type
File Description:
application/xml
DOI:
10.22124/jmm.2019.13259.1265
Access URL:
Accession Number:
edsair.dedup.wf.002..bb7f324b9dd00e60312a592cd39b6ea1
Database:
OpenAIRE
Weitere Informationen
Summary: In this paper, second order explicit Galerkin finite element method based on cubic B-splines is constructed to compute numerical solutions of one dimensional nonlinear forced Burgers' equation. Taylor series expansion is used to obtain time discretization. Galerkin finite element method is set up for the constructed time discretized form. Stability of the corresponding linearized scheme is studied by using von Neumann analysis. The accuracy, efficiency, applicability and reliability of the present method is demonstrated by comparing numerical solutions of some test examples obtained by the proposed method with the exact and numerical solutions available in literature.