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Numerical solution of Burgers’ equation by cubic B-spline quasi-interpolation
Ist Teil von
Applied mathematics and computation, 2009-02, Vol.208 (1), p.260-272
Ort / Verlag
Amsterdam: Elsevier Inc
Erscheinungsjahr
2009
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In this paper, numerical solution of the Burgers’ equation is presented based on the cubic B-spline quasi-interpolation. At first the cubic B-spline quasi-interpolation is introduced. Moreover, the numerical scheme is presented, by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a low order forward difference to approximate the time derivative of the dependent variable. The accuracy of the proposed method is demonstrated by some test problems. The numerical results are found in good agreement with exact solutions. The advantage of the resulting scheme is that the algorithm is very simple, so it is very easy to implement.