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Most of engineering problems, especially heat transfer equations, are nonlinear, therefore some of them are solved using numerical solution and some are solved using different semi-analytic methods. There are several new semi-analytical methods, including homotopy perturbation method (HPM), Parameter perturbation method (PPM), Differential Transformation Method (DTM), hybrid differential transformation-finite difference (Hybrid-DTM), Adomian decomposition method (ADM), Homotopy Analysis Method (HAM), and Galerkin Optimal Homotopy Asymptotic Method (GOHAM).. These methods can solve a large...