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Additional Techniques

In: Nonlinear Flow Phenomena and Homotopy Analysis

Author

Listed:
  • Kuppalapalle Vajravelu

    (University of Central Florida, Department of Mathematics)

  • Robert A. van Gorder

    (University of Central Florida, Department of Mathematics)

Abstract

In the previous chapters, we have discussed the general idea of the method of homotopy analysis. We have also discussed some ways of ensuring that the obtained series solutions converge appropriately.Now, we shall discuss some additional techniques that might be useful for those applying the method of homotopy analysis to nonlinear boundary or initial value problems. As the more advanced methods are special made for certain types of problems, not all methods discussed here will be relevant for simpler models. However, for more complicated problems, some of the method discussed here may be useful to the reader.

Suggested Citation

  • Kuppalapalle Vajravelu & Robert A. van Gorder, 2012. "Additional Techniques," Springer Books, in: Nonlinear Flow Phenomena and Homotopy Analysis, chapter 0, pages 77-100, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-32102-3_4
    DOI: 10.1007/978-3-642-32102-3_4
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