homotopic

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Related to Homotopy: Homotopy groups, Homotopy theory

homotopic

 [ho″mo-top´ik]
occurring at the same place upon the body.

ho·mo·top·ic

(hō'mō-top'ik), Do not confuse this word with homotropic.
Pertaining to or occurring at the same place or part of the body.
[homo- + G. topos, place]

ho·mo·top·ic

(hō'mō-top'ik)
Pertaining to or occurring at the same place or part of the body.
[homo- + G. topos, place]
References in periodicals archive ?
An efficient numerical method for solving linear and nonlinear partial differential equations by combining homotopy analysis and transform method.
This shows that He's Homotopy Pertubation method is an effective method for solving similar flow problems.
They performed a homotopy deformation on successively refined discretization systems in order to obtain solutions on the finer level.
According to the homotopy perturbation method, we assume that the solution of (10)-(11) can be written as
In the frame of the homotopy method, we first construct such a continuous variation (or deformation) [phi] (x, t; q) that as q increases from 0 to 1, [phi] (x, t; q) varies from the initial approach [u.sub.0](x, t) to the solution u(x, t) of (3).
The fixed-point set is included as a subspace of the homotopy fixed-point set, Fix(f/p) [??] h-Fix(f/p), by mapping to [~.x] to ([~.x],[alpha]) where [alpha] is the constant path at p([~.x]) = f([~.x]).
Section 2 introduces two parameters and constructs appropriate perturbations to the constraint functions to develop a non-interior point homotopy path-following method for solving fixed-point problems with equality and inequality constraints.
According to HPLM, a homotopy can be constructed as m(x, p) : R x [0,1] [right arrow] R such that it satisfies
The analytical solutions of TFPDE with proportional delay have been obtained by employing homotopy perturbation method by Sakar et al.
The governing differential equations are transformed by the similarity transformations to two nonlinear ordinary differential equations, and then the resulting nonlinear ODEs are solved using the semi-analytical homotopy perturbation method (HPM) for six types of nanoparticles: copper (Cu), alumina (Al2O3), titania (TiO2), copper oxide (CuO), silver (Ag) and silicon (SiO2) in the water based fluid with Pr = 6.2.