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Transformation of a Boundary Value Problem to an Initial Value Problem

In: Group Invariance in Engineering Boundary Value Problems

Author

Listed:
  • R. Seshadri

    (Syncrude Canada Limited)

  • T. Y. Na

    (University of Michigan—Dearborn, Department of Mechanical Engineering)

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.

Suggested Citation

  • R. Seshadri & T. Y. Na, 1985. "Transformation of a Boundary Value Problem to an Initial Value Problem," Springer Books, in: Group Invariance in Engineering Boundary Value Problems, chapter 0, pages 157-168, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5102-6_9
    DOI: 10.1007/978-1-4612-5102-6_9
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