Wyniki wyszukiwania - BazTech

1

Difference scheme for differential-difference problems with small shifts arising in computational model of neuronal variability

Kodipaka Mamatha, Emineni Siva Prasad, Kolloju Phaneendra

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 1

91--106

EN

The solution of differential-difference equations with small shifts having layer behaviour is the subject of this study. A difference scheme is proposed to solve this equation using a non-uniform grid. With the non-uniform grid, finite - difference estimates are derived for the first and second-order derivatives. Using these approximations, the given equation is discretized. The discretized equation is solved using the tridiagonal system algorithm. Convergence of the scheme is examined. Various numerical simulations are presented to demonstrate the validity of the scheme. In contrast to other techniques, maximum errors in the solution are organized to support the method. The layer behaviour in the solutions of the examples is depicted in graphs.

2

An extended finite difference method for singular perturbation problems on a non-uniform mesh

Swarnakar D., Kumar V. Ganesh, Soujanya G. B. S. L.

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 1

203--214

EN

An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem. A discrete equation is achieved on the non uniform mesh by extending the first and second order derivatives to the higher order finite differences. This equation is solved efficiently using a tridiagonal solver. The proposed method is analysed for convergence, and second order convergence is derived. Model examples are solved by the proposed scheme and compared with available methods in the literature to uphold the method.

3

Assessment of Transversal Deformations of Multi - Axial Woven Fabrics Stretched One - Directionally

Frontczak-Wasiak I., Snycerski M.

Fibres & Textiles in Eastern Europe

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2006

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Vol. 14, no. 2 (56)

29--33

EN

The coefficient of the transversal deformation of woven fabrics while stretched one-directionally was determined by experiments. Three-axial fabrics, four-axial fabrics with homogeneous and inhomogeneous nets, and six-axial fabrics with an inhomogeneous net were the subjects of our investigation. Classical, two-dimensional fabrics with area masses of a similar order of magnitude were accepted for comparison. An analysis indicated that the transversal deformability of woven fabrics decreases with the increase in the number of thread systems.

PL

Eksperymentalnie wyznaczono współczynnik odkształcenia poprzecznego tkanin przy rozciąganiu jednokierunkowym. Obiektem badań były tkaniny: trójosiowa, czteroosiowe o siatce jednorodnej i niejednorodnej oraz sześcioosiowa o siatce niejednorodnej. Jako porównywalniki przyjęto tkaniny klasyczne o porównywalnych masach powierzchniowych. Analiza wykazała, że odkształcalność poprzeczna tkanin maleje wraz ze wzrostem liczby układów nitek.