Aglrseven, DenizOzis, Turgut2024-06-122024-06-122011978-1-84626-005-6https://hdl.handle.net/20.500.14551/239235th International Conference on Management Science and Engineering Management -- NOV 07-09, 2011 -- Macau, PEOPLES R CHINAIn this paper, we introduce a frame to achieve exact solutions to the nonlinear diffusion equations by utilizing homotopy analysis method. Exact solutions are obtained for some physically important diffusion processes of power law diffusivities. The method is accomplished by significantly decreasing the size of computational domain. The method presents a general way so that it can be used in additional diffusion classes.eninfo:eu-repo/semantics/closedAccessSolutionsNonlinear DiffusionPower Law DiffusivityHomotopy Analysis MethodExact solutions to nonlinear diffusion equations achieved by homotopy analysis methodConference Object2025N/AWOS:000394193600004