Agirseven, Deniz2024-06-122024-06-122012978-0-7354-1077-00094-243Xhttps://doi.org/10.1063/1.4747651https://hdl.handle.net/20.500.14551/196141st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEYHomotopy Analysis Method (HAM) [1-2] is applied to the problem of the one-dimensional heat equations with a non-linear heat source subject to the temperature and the heat flux given at a single boundary to obtain the analytical solutions. Solutions obtained take an important place for one-dimensional heat flow as applied to a few regular geometries such as slabs, cylinders and spheres. Some of the test problems are presented to show the efficiency of HAM.en10.1063/1.4747651info:eu-repo/semantics/closedAccessCauchy ProblemHeat EquationHomotopy Analysis MethodHomotopy Analysis MethodPerturbation MethodAlgorithmConference Object1470106109N/AWOS:0003095244000272-s2.0-84873269028N/A