Year of Publication
Kaveh A. Tagavi
We present a novel approach for deriving analytical solutions to transport equations expressedin similarity variables. We apply a fixed-point iteration procedure to these transformedequations by formally solving for the highest derivative term and then integrating to obtainan expression for the solution in terms of a previous estimate. We are able to analyticallyobtain the Lipschitz condition for this iteration procedure and, from this (via requirements forconvergence given by the contraction mapping principle), deduce a range of values for the outerlimit of the solution domain, for which the fixed-point iteration is guaranteed to converge.
Tiwari, Abhishek, "ANALYTICAL METHODS FOR TRANSPORT EQUATIONS IN SIMILARITY FORM" (2007). University of Kentucky Master's Theses. 457.