Applications of Homotopy Analysis Transform Method for Solving Various Nonlinear Equations
نویسندگان
چکیده
In this paper, we apply Homotopy Analysis Transform Method (HATM) for solving various nonlinear equations. This method is the combined for of the homotopy analysis method and Laplace transform method. HATM is applied without any discretization or restrictive assumption and avoids roundoff errors which may lead the solution in closed form. The results reveal that the HATM is very effective, convenient and quite accurate to system of nonlinear equations. Also it is shown that the Adomain decomposition method and homotopy perturbation method and Variational iteration method are special case of homotopy analysis transform method 1 = −
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