Afrika Matematika
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Propagation of thermoelastic plane waves at an imperfect boundary of thermal conducting viscous liquid/generalized thermoelastic solid
Afrika Matematika - Tập 25 - Trang 81-102 - 2012
The reflection and transmission of thermoelastic plane waves at an imperfect interface between a thermal conducting viscous-liquid and generalized thermoelastic solid half-space has been investigated. The amplitude ratios of various reflected and transmitted waves are obtained for an imperfect boundary. Particular cases of normal stiffness, transverse stiffness, slip and welded boundaries are dedu......
An efficient conjugate gradient trust-region approach for systems of nonlinear equation
Afrika Matematika - Tập 30 - Trang 597-609 - 2019
In this paper, we introduce a combination of family of some conjugate gradient methods (CG) with the trust-region method. Whenever the trust-region algorithm is unsuccessful, a family of CG methods is used to prevent resolving the trust-region subproblem. The computational cost for such a family is trivial. The global theory of the new approach is proved and numerical experiments are reported.
A thermoviscoelastic contact problem with friction, damage and wear diffusion
Afrika Matematika - Tập 34 - Trang 1-17 - 2023
In this paper we present a model for quasistatic frictional contact between a thermoviscoelastic body and a moving foundation that involves wear of contacting surface and diffusion of wear debris. The damage effect is taken into account in the thermoviscoelastic constitutive law, its evolution is described by a parabolic inclusion with the homogeneous Neumann boundary condition. Contact is modeled......
A class of Boehmians for a recent generalization of Hankel–Clifford transformation of arbitrary order
Afrika Matematika - Tập 27 - Trang 877-888 - 2015
We investigate some generalization of a class of Hankel–Clifford transformations of arbitrary order on a class of Boehmians. We show that the generalized transform is one-to-one and onto mapping compatible with the classical transform. An inverse class of Hankel–Clifford transformations are also discussed in some details.
Inductive algebras for the affine group of a finite field
Afrika Matematika - Tập 33 - Trang 1-4 - 2022
Each irreducible representation of the affine group of a finite field has a unique maximal inductive algebra, and it is self-adjoint.
Mixed convection flow in a vertical tube filled with porous material with time-periodic boundary condition: steady-periodic regime
Afrika Matematika - Tập 26 - Trang 529-543 - 2014
An analytical study is reported on the hydrodynamic and thermal behaviour of a fully developed mixed convective flow in a vertical tube filled with isotropic porous material having time-periodic boundary condition. The analysis is performed for fully developed parallel flow and steady-periodic regime. The momentum and energy equations presented in dimensionless form along with the constraint equat......
Points algébriques de petits degrés sur la courbe d’équation affine $$y^{2}=x^{5}+1$$
Afrika Matematika - Tập 29 - Trang 1151-1157 - 2018
We give a parameterization of the algebraic points of degree
$$\le 3$$
over
$$\mathbb {Q}$$
......
The weak law of large numbers in P-probability theory
Afrika Matematika - Tập 23 Số 2 - Trang 243-247 - 2012
A note on maximal $$\hbox {B}_p$$ -subalgebras of B-algebras
Afrika Matematika - Tập 34 Số 1 - Trang 1-7 - 2023
Using the results about maximal $$\hbox {B}_p$$ -subalgebras, we show that there are no noncommutative B-simple B-algebras of the following orders: (i) between 1 and 24, (ii) between 24 and 36, and (iii) between 36 and 60.
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