4.7 Article

A note on the transformation of boundary value problems to initial value problems: The iterative transformation method

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 415, 期 -, 页码 -

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ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2021.126692

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Boundary layer theory; Non-Iterative transformation method; Iterative transformation method; Scaling group

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The paper provides a concise review on using the scaling transformation group to determine a modified boundary value problem, which is invariant under an extended two-parameter scaling group. The main contribution is the development of a simple iterative method that does not require the extended group.
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. (C) 2021 Elsevier Inc. All rights reserved.

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