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Analytical solutions of orientation aggregation models, multiple solutions and path following with the Adomian decomposition method

In this work we apply the Adomian decomposition method to an orientation aggregation problem modelling the time distribution of filaments. We find analytical solutions under certain specific criteria and programmatically implement the Adomian method to two variants of the orientation aggregation model. We extend the utility of the Adomian decomposition method beyond its original capability to enable it to converge to more than one solution of a nonlinear problem and further to be used as a corrector in path following bifurcation problems.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:569668
Date January 2011
CreatorsMcKee, Alex Clive Seymoore
ContributorsFurter, J. E.
PublisherBrunel University
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://bura.brunel.ac.uk/handle/2438/7349

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