Zobrazeno 1 - 10
of 77 579
pro vyhledávání: '"finite-difference scheme"'
Autor:
Punia, Ashwani, Ray, Rajendra K.
This work introduces a new higher-order super-compact (HOSC) implicit finite difference scheme for analyzing three-dimensional (3D) natural convection and entropy generation in non-Newtonian fluids. The proposed scheme achieves fourth-order accuracy
Externí odkaz:
http://arxiv.org/abs/2411.06563
Autor:
Carasso, Alfred S.
Publikováno v:
2024 NIST Technical Note 2299
For the 2D incompressible Navier-Stokes equations, with given hypothetical non smooth data at time $T > 0 $that may not correspond to an actual solution at time $T$, a previously developed stabilized backward marching explicit leapfrog finite differe
Externí odkaz:
http://arxiv.org/abs/2411.14617
This study aims to construct a stable, high-order compact finite difference method for solving Sobolev-type equations with Dirichlet boundary conditions in one-space dimension. Approximation of higher-order mixed derivatives in some specific Sobolev-
Externí odkaz:
http://arxiv.org/abs/2411.18445
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
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
We present a meshless finite difference method for multivariate scalar conservation laws that generates positive schemes satisfying a local maximum principle on irregular nodes and relies on artificial viscosity for shock capturing. Coupling two diff
Externí odkaz:
http://arxiv.org/abs/2409.15544
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:
Carasso, Alfred S.1 (AUTHOR) alfred.carasso@nist.gov
Publikováno v:
Applied Mathematics in Science & Engineering. Dec2024, Vol. 32 Issue 1, p1-15. 15p.
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