Applying Cubic B-spline Quasi-interpolation to Solve Hyperbolic Conservation Laws
نویسندگان
چکیده
Numerical Solution of hyperbolic conservation laws is important in computational fluid dynamics. In this paper, we present a new numerical method to solve the hyperbolic conservation laws, which is constructed by using the derivative of the cubic B-spline quasi-interpolation to approximate the spatial derivative of the dependent variable and first order forward difference to approximate the time derivative of the dependent variable. Moreover, the method for advection equation and one-dimensional Burgers’ equation (without viscosity) is verified with some numerical examples. The advantage of the resulting scheme is that the algorithm is very simple, so it is very easy to implement.
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