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Taylor–Galerkin and Taylor-collocation methods for the numerical solutions of Burgers’ equation using B-splines

✍ Scribed by İdris Dağ; Aynur Canıvar; Ali Şahin

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
559 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, for the numerical solution of Burgers' equation, we give two B-spline finite element algorithms which involve a collocation method with cubic B-splines and a Galerkin method with quadratic B-splines. In time discretization of the equation, Taylor series expansion is used. In order to verify the stabilities of the purposed methods, von-Neumann stability analysis is employed. To see the accuracy of the methods, L 2 and L 1 error norms are calculated and obtained results are compared with some earlier studies.

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