Zobrazeno 1 - 10
of 123 313
pro vyhledávání: '"difference scheme"'
Autor:
Punia, Ashwani, Ray, Rajendra K.
This work introduces a new higher-order accurate super compact (HOSC) finite difference scheme for solving complex unsteady three-dimensional (3D) non-Newtonian fluid flow problems. As per the author's knowledge, the proposed scheme is the first ever
Externí odkaz:
http://arxiv.org/abs/2407.19100
Autor:
Imranov, F. B.1 farizimranov@yandex.ru, Sokolov, A. G.2 shurunya@mtu-net.ru
Publikováno v:
Azerbaijan Journal of Mathematics. Jul2024, Vol. 14 Issue 2, p205-213. 9p.
Publikováno v:
Appl. Numer. Math. 205 (2024) 215
Solitons of the purely cubic nonlinear Schr\"odinger equation in a space dimension of $n \geq 2$ suffer critical and supercritical collapses. These solitons can be stabilized in a cubic-quintic nonlinear medium. In this paper, we analyze the Crank-Ni
Externí odkaz:
http://arxiv.org/abs/2407.12311
In this paper we propose and analyze a finite difference numerical scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. The singular logarithmic potential is included in the Flory-Huggins energy expansion. Meanwhile,
Externí odkaz:
http://arxiv.org/abs/2407.13453
We consider a generalization of the mKdV model of shallow water out-flows. This generalization is a family of equations with nonlinear dispersion terms containing, in particular, KdV, mKdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi e
Externí odkaz:
http://arxiv.org/abs/2405.16362
Autor:
Alam, Mehebub, Pandey, Rajni Kant
This report addresses the boundary value problem for a second-order linear singularly perturbed FIDE. Traditional methods for solving these equations often face stability issues when dealing with small perturbation parameters. We propose an exact fin
Externí odkaz:
http://arxiv.org/abs/2407.00425
Semi-Lagrangian (SL) schemes are highly efficient for simulating transport equations and are widely used across various applications. Despite their success, designing genuinely multi-dimensional and conservative SL schemes remains a significant chall
Externí odkaz:
http://arxiv.org/abs/2405.01938
A novel central compact finite-difference scheme for third derivatives with high spectral resolution
In this paper, we introduce a novel category of central compact schemes inspired by existing cell-node and cell-centered compact finite difference schemes, that offer a superior spectral resolution for solving the dispersive wave equation. In our app
Externí odkaz:
http://arxiv.org/abs/2405.00569
In the present study, we consider the numerical method for Toeplitz-like linear systems arising from the $d$-dimensional Riesz space fractional diffusion equations (RSFDEs). We apply the Crank-Nicolson (CN) technique to discretize the temporal deriva
Externí odkaz:
http://arxiv.org/abs/2404.10221
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 38,, Pp 1-12 (2024)
Externí odkaz:
https://doaj.org/article/9c44d8a762a74a12aa4cfe46d0dfa8bc