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.
KeywordsResidual Error Homotopy Analysis Method Additional Technique Perturbation Solution Compliant Substrate
Unable to display preview. Download preview PDF.
- T. von Kármán, Festigkeitsproblem im Maschinenbau, Encyk. D. Math. Wiss., IV (1910) 311.Google Scholar
- L.D. Landau and E.M. Lifshitz, Theory of Elasticity, 3rd edn., ISBN 075062633X. Elsevier Science, January 1984.Google Scholar
- B. Audoly, Mode-dependent toughness and the delamination of compressed thin films, Journal of the Mechanics and Physics of Solids, 48 (2000) 2101.Google Scholar