Reproducing Kernel Function Method for Second Order ParabolicEquations
解二阶抛物型方程组的再生核函数法

In this paper, a reproducing kernel function method for numerically solving second order parabolic equations is devised. By using the reproducing kernel function, the approximate solution at each discrete time level is given with explicit formula. Computations run fully parallel with the explicit formula. The second-order convergence and stability of the scheme are proved with energy method. Some numerical results are presented.