论文标题
布鲁斯功能法的收敛加速度
Convergence acceleration for the BLUES function method
论文作者
论文摘要
在四个不同的迭代过程中进行了详细的比较：在布鲁斯功能方法的框架内，皮卡德，伊西卡瓦，曼恩和皮卡德 - 克拉斯诺斯基科和变异迭代方法。随后将所得的修改方法应用于非线性反应 - 扩散 - 添加微分方程，以生成与已知精确溶液的近似值。通过研究所获得的近似值和精确解决方案之间的近似值和误差来说明蓝调函数方法与变分迭代方法之间的差异。
A detailed comparison is made between four different iterative procedures: Picard, Ishikawa, Mann and Picard-Krasnoselskii, within the framework of the BLUES function method and the variational iteration method. The resulting modified methods are subsequently applied to a nonlinear reaction-diffusion-advection differential equation to generate approximations to the known exact solution. The differences between the BLUES function method and the variational iteration method are illustrated by studying the approximants and the error between the obtained approximants and the exact solution.
