Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method

Authors:
S. Kutluay;A. Esen;I. Dag
Affiliations:
Department of Mathematics, Faculty of Arts and Science, Inönü University, 44100 Malatya, Turkey;Department of Mathematics, Faculty of Arts and Science, Inönü University, 44100 Malatya, Turkey;Department of Mathematics, Faculty of Arts and Science, University of Osmangazi, 26480 Eskisehir, Turkey
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

In this study, a least-squares quadratic B-spline finite element method for calculating the numerical solutions of the one-dimensional Burgers-like equations with appropriate boundary and initial conditions is presented. Three test problems have been studied to demonstrate the accuracy of the present method. Results obtained by the method have been compared with the exact solution of each problem and are found to be in good agreement with each other. A Fourier stability analysis of the method is also investigated.