Additional Techniques

Kuppalapalle Vajravelu () and Robert A. van Gorder ()
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Kuppalapalle Vajravelu: University of Central Florida, Department of Mathematics
Robert A. van Gorder: University of Central Florida, Department of Mathematics

Chapter Chapter 4 in Nonlinear Flow Phenomena and Homotopy Analysis, 2012, pp 77-100 from Springer

Abstract: 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.

Keywords: Residual Error; Homotopy Analysis Method; Additional Technique; Perturbation Solution; Compliant Substrate (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-32102-3_4

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