A NEW NUMERICAL METHOD FOR SECOND ORDER NONLINEAR HYPERBOLIC EQUATIONS
解非线性二阶双曲型方程的一种新数值方法

In this paper, a reproducing kernel function method for numerically solving second order hyperbolic equations is devised. By using the reproducing kernel function, the approximate solution at each discrete time level is given with explicit formula. The advantage of this method is that the scheme is'absolutely stable, and is explicitly solvable as well. Using the explicit formula, computations run fully parallel. The theoretical analysis of stability and convergence is presented. Some numerical results are also given.