homotopic

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Related to Homotopy: Homotopy groups, Homotopy theory
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homotope

ho·mo·top·ic

a. homotópico-a, que ocurre en o corresponde al mismo lugar o parte.
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The proceedings of a July 2017 conference on homotopy theory held in Urbana, Illinois contains 11 selected papers.
The homotopy analysis transform method (Hatm) is a compounding of the homotopy analysis method (HAM) and Laplace transform method (Khan, Gondala, Hussain, & Vanani, 2012; Gondal, Arife, Khan, & Hussain, 2011; Kumar, Singh, & Kumar, 2014; Kumar, Kumar, & Baleanu, 2016).
The Homotopy Perturbation method (HPM) is a technique based on the concept of the Homotopy from topology that was introduced by Dr.
Numerical solutions are computed by the Finite Element Method [11], the Finite Difference Method [26], and the Sinc-Galerkin Method [23], while analytic solutions are obtained by the Homotopy Perturbation Method [19], the Homotopy Analysis Method [17], the Lower and Upper Solution Method [22], and the Modified Decomposition Method [28].
There are many effective methods to solve this problem, like Adomian decomposition method [8-10], variation iteration method [11], differential transform method [12], residual power series method [13, 14], iteration method [15], homotopy perturbation method [16], homotopy analysis method [17], and so on.
In an earlier work, Domairry and Aziz [3] applied the homotopy perturbation method to investigate the effects of suction and injection on magnetohydrodynamic squeezing flow of fluid between parallel disks.
In recent years, a considerable amount of research focused on finding analytical solution to the Schrodinger equations using various methods, among which are Adomian Decomposition Method [3-8], Elzaki decomposition method [9], Variation Iteration method [10], Nikiforod-Uvarov (NV) method [11], and Homotopy Perturbation Method [3, 4, 12-16].
The analytical approach for solving the nonlinear PDEs was first introduced by Liao in 1992, i.e., the homotopy analysis method (HAM).
The basic fixed-point index of f/p was constructed in [8], and called there the homotopy Lefschetz index, as an element
The homotopy method, as a globally convergent algorithm, is a powerful tool in handling fixed-point problems (e.g., [5-10] and the references therein).
To overcome this limitation, a method known as the Homotopy Perturbation Method was introduced that combined traditional perturbations with homotopy and was applied to various nonlinear boundary value problems [7, 8, 17-19].