Transformation of a Boundary Value Problem to an Initial Value Problem

R. Seshadri and T. Y. Na
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R. Seshadri: Syncrude Canada Limited
T. Y. Na: University of Michigan—Dearborn, Department of Mechanical Engineering

Chapter Chapter 9 in Group Invariance in Engineering Boundary Value Problems, 1985, pp 157-168 from Springer

Abstract: Abstract The method for transforming nonlinear boundary value problems to initial value problems was first introduced by Toepfer1 in 1912 in his attempt to solve Blasius’ equation in boundary layer theory by a series expansion method. About half a century later Klamkin2, based on the same reasoning, extended the method to a wider class of problems. Major extensions were made possible only when the transformation process was interpreted and re-examined by Na3 in terms of the continuous groups of transformations.

Date: 1985
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DOI: 10.1007/978-1-4612-5102-6_9

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