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Haar wavelet method for vibration analysis of nanobeams

100%

Kirs M., Mikola M., Haavajõe A., Õunapuu E., Shvartsman B., Majak J.

Waves, Wavelets and Fractals

2016

tom 2

nr 1

In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model. The accuracy of the solution is explored. The obtained results are compared with ones computed by finite difference method. The numerical convergence rates determined are found to be in agreement with corresponding convergence theorems.

An operational Haar wavelet method for solving fractional Volterra integral equations

88%

Saeedi H., Mollahasani N., Mohseni Moghadam M., Chuev G.

International Journal of Applied Mathematics and Computer Science

2011

tom 21

nr 3

535-547

A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Waves, Wavelets and Fractals

1 Chuev G.

1 Haavajõe A.

1 Kirs M.

1 Majak J.

1 Mikola M.

1 Mohseni Moghadam M.

1 Mollahasani N.

1 Saeedi H.

1 Shvartsman B.

1 Õunapuu E.

1 2016

1 2011

Wyniki wyszukiwania

Haar wavelet method for vibration analysis of nanobeams

An operational Haar wavelet method for solving fractional Volterra integral equations