给出了求解一类非线性发展方程的全离散一次有限体积元格式,并给出了L^2和H^1误差估计。最后通过数值例子说明了该方法的有效性。
This paper gives a fully discrete finite volume element method based on a piecewise linear element space for a class of nonlinear evolution equation. The error estimates in L^2 and H^1 norms are obtained. Finally, some results show that the method is very effective for solving this class of problems.