To solve the nonlinear finite difference scheme, an accelerated monotone iterative method is presented, and the explicit estimate for the rate of convergence is given.
为了求解非线性差分格式，本文建立一种加速单调迭代算法，并给出精确的收敛率估计。
The method of upper and lower solutions, coupled with the monotone iterative technique is a powerful tool for proving the existence of solutions of nonlinear systems.
单调迭代法与上、下解结合是证明非线性系统解的存在性的强有力的工具。
The numerical results demonstrate the advantages of the method, including the monotone convergence property of iterative sequences and the high accuracy of the method.
数值结果显示了该方法的优越性，包括迭代序列的单调收敛性及有限差分解的高精度。
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