论文标题
存在的结果和迭代方法，用于求解第四阶非线性突出方程
Existence results and iterative method for solving a fourth order nonlinear integro-differential equation
论文作者
论文摘要
在本文中，我们考虑了具有Navier边界条件的第四阶非线性差异方程。通过将问题减少到操作员方程式，我们确定了解决方案的存在和唯一性，并构建了一种用于求解它的数值方法。我们证明该方法是二阶精度，并获得总误差的估计值。一些示例证明了所获得的理论结果和数值方法的效率的有效性。
In this paper we consider a class of fourth order nonlinear integro-differential equations with Navier boundary conditions. By the reduction of the problem to operator equation we establish the existence and uniqueness of solution and construct a numerical method for solving it. We prove that the method is of second order accuracy and obtain an estimate for total error. Some examples demonstrate the validity of the obtained theoretical results and the efficiency of the numerical method.
