In this chapter, applications of new semianalytical methods are investigated. The names of these methods are the homotopy perturbation method, Galerkin optimal homotopy asymptotic method, differential transformation method, Adomian decomposition method, and homotopy analysis method. The chapter first discusses previous works and then presents the basic idea of each method. Also, the chapter provides sample Maple codes for these methods. Finally, several examples are provided in which semianalytical methods are used to simulate nanofluid flow and heat transfer in the presence of a magnetic field.
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