Article ID Journal Published Year Pages File Type
4633853 Applied Mathematics and Computation 2009 13 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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