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

作者：

Highlights：

• We review the non-iterative method for transforming Blasius boundary value problem into initial value problem using a one-parameter scaling transformation.

• We discuss in detail the iterative transformation method in solving the Falkner-Skan boundary value problem via a two parameter scaling transformation.

• Since one of the two parameters has a value of unity, we show that a simple iterative procedure not requiring an extended group can be employed to solve the Falkner Skan problem, as well as any such problems for which the iterative transformation problem can be used.

摘要

•We review the non-iterative method for transforming Blasius boundary value problem into initial value problem using a one-parameter scaling transformation.•We discuss in detail the iterative transformation method in solving the Falkner-Skan boundary value problem via a two parameter scaling transformation.•Since one of the two parameters has a value of unity, we show that a simple iterative procedure not requiring an extended group can be employed to solve the Falkner Skan problem, as well as any such problems for which the iterative transformation problem can be used.

论文关键词：Boundary layer theory,Non-Iterative transformation method,Iterative transformation method,Scaling group

论文评审过程：Received 3 March 2021, Revised 14 June 2021, Accepted 24 September 2021, Available online 9 October 2021, Version of Record 9 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126692