论文标题
固定点类型的预测迭代以求解非线性局部伏特拉透明度 - 分化方程
Projected iterations of fixed point type to solve nonlinear partial Volterra integro--differential equations
论文作者
论文摘要
在本文中,我们提出了一种近似Banach空间中操作员的固定点的方法。使用BiorThosonal系统,该方法用于构建一类非线性部分脱节方程的解决方案的近似值。理论发现用几个数值示例进行了说明,证实了所提出方法的可靠性,有效性和精度。
In this paper, we propose a method to approximate the fixed point of an operator in a Banach space. Using biorthogonal systems, this method is applied to build an approximation of the solution of a class of nonlinear partial integro--differential equations. The theoretical findings are illustrated with several numerical examples, confirming the reliability, validity and precision of the proposed method.