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A note on the transformation of boundary value problems to initial value problems: The iterative transformation method
Applied Mathematics and Computation ( IF 3.5 ) Pub Date : 2021-10-09 , DOI: 10.1016/j.amc.2021.126692 A.G. Fareo 1
中文翻译:
边值问题向初值问题转化的注解:迭代变换法
更新日期:2021-10-10
Applied Mathematics and Computation ( IF 3.5 ) Pub Date : 2021-10-09 , DOI: 10.1016/j.amc.2021.126692 A.G. Fareo 1
Affiliation
In this paper, a concise review is presented, of how the scaling transformation group can be employed to determine a modified boundary value problem [6,10,11], which is invariant under an extended two-parameter scaling group. The main contribution is then to show that since the non-physical scaling parameter in the extended group is unity, a simple iterative method which does not require an extended group can be deduced.
中文翻译:
边值问题向初值问题转化的注解:迭代变换法
在本文中,简要回顾了如何使用标度变换组来确定修改的边界值问题 [6,10,11],该问题在扩展的双参数标度组下是不变的。主要贡献是证明由于扩展群中的非物理标度参数是统一的,所以可以推导出一个不需要扩展群的简单迭代方法。