Space–Time Spectral Collocation Method for Solving Burgers Equations with the Convergence Analysis

Autor: Yu Huang, Mohammad Hadi Noori Skandari, Fatemeh Mohammadizadeh, Hojjat Ahsani Tehrani, Svetlin Georgiev Georgiev, Emran Tohidi, Stanford Shateyi
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Symmetry, Vol 11, Iss 12, p 1439 (2019)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym11121439
Popis: This article deals with a numerical approach based on the symmetric space-time Chebyshev spectral collocation method for solving different types of Burgers equations with Dirichlet boundary conditions. In this method, the variables of the equation are first approximated by interpolating polynomials and then discretized at the Chebyshev−Gauss−Lobatto points. Thus, we get a system of algebraic equations whose solution is the set of unknown coefficients of the approximate solution of the main problem. We investigate the convergence of the suggested numerical scheme and compare the proposed method with several recent approaches through examining some test problems.
Databáze: Directory of Open Access Journals
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