Temat: 02.60.Nm - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Numerical study for fractional Euler-Lagrange equations of a harmonic oscillator on a moving platform
Autorzy:: Baleanu, D.
Blaszczyk, T.
Asad, J.
Alipour, M.
Powiązania:: https://bibliotekanauki.pl/articles/1158911.pdf
Data publikacji:: 2016-09
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.60.Jh
02.60.Nm
02.10.Ud
02.30.Vv
Opis:: We investigate the fractional harmonic oscillator on a moving platform. We obtained the fractional Euler-Lagrange equation from the derived fractional Lagrangian of the system which contains left Caputo fractional derivative. We transform the obtained differential equation of motion into a corresponding integral one and then we solve it numerically. Finally, we present many numerical simulations.
Źródło:: Acta Physica Polonica A; 2016, 130, 3; 688-691
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Lattice Green Functions on a Two-Dimensional Rectangular Lattice with Next-Nearest Neighbor Interaction
Autorzy:: Bak, M.
Powiązania:: https://bibliotekanauki.pl/articles/1537144.pdf
Data publikacji:: 2010-08
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.30.Gp
02.30.Uu
02.60.Nm
71.15.-m
02.70.Hm
71.10.Fd
Opis:: The analytic formula for the on-site Green function on the two-dimensional rectangular lattice is shown for arbitrary energy, both within the band (complex Green function) and outside the band (real Green function), expressed by means of elliptic integrals. The recursion formulae enabling calculation of the Green functions on other lattice sites are shown.
Źródło:: Acta Physica Polonica A; 2010, 118, 2; 386-388
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Numerical Simulations of Shock Wave Propagating by a Hybrid Approximation Based on High-Order Finite Difference Schemes
Autorzy:: Zeytinoglu, A.
Sari, M.
Allahverdiev, B.
Powiązania:: https://bibliotekanauki.pl/articles/1030586.pdf
Data publikacji:: 2018-01
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.60.Cb
02.70.Bf
47.11.Bc
47.40.Nm
Opis:: In this paper, we attempt to display effective numerical simulations of shock wave propagating represented by the Burgers equations known as a significant mathematical model for turbulence. A high order hybrid approximation based on seventh order weighted essentially non-oscillatory finite difference together with the sixth order finite difference scheme implemented for spatial discretization is presented and applied without any transformation or linearization to the Burgers equation and its modified form. Then, the produced system of first order ordinary differential equations is solved by the MacCormack method. The efficiency, accuracy and applicability of the proposed technique are analyzed by considering three test problems for several values of viscosity that can be caused by the steep shock behavior. The performance of the method is measured by some error norms. The results are in good agreement with the results reported previously, and moreover, the suggested approximation relatively comes to the forefront in terms of its low cost and easy implementation.
Źródło:: Acta Physica Polonica A; 2018, 133, 1; 140-151
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

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