Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Alikhanov, Anatoly A."'
The least squares method provides the best-fit curve by minimizing the total squares error. In this work, we provide the modified least squares method based on the fractional orthogonal polynomials that belong to the space $M_{n}^{\lambda} := \text{s
Externí odkaz:
http://arxiv.org/abs/2405.00382
This study investigates a class of initial-boundary value problems pertaining to the time-fractional mixed sub-diffusion and diffusion-wave equation (SDDWE). To facilitate the development of a numerical method and analysis, the original problem is tr
Externí odkaz:
http://arxiv.org/abs/2307.05349
The shifted fractional trapezoidal rule (SFTR) with a special shift is adopted to construct a finite difference scheme for the time-fractional Allen-Cahn (tFAC) equation. Some essential key properties of the weights of SFTR are explored for the first
Externí odkaz:
http://arxiv.org/abs/2302.13021
Publikováno v:
In Physica D: Nonlinear Phenomena August 2024 464
In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum media. The mathematical model contains a coupled system of equations f
Externí odkaz:
http://arxiv.org/abs/2201.07638
Nonlinear time fractional partial differential equations are widely used in modeling and simulations. In many applications, there are high contrast changes in media properties. For solving these problems, one often uses coarse spatial grid for spatia
Externí odkaz:
http://arxiv.org/abs/2110.13248
Time fractional PDEs have been used in many applications for modeling and simulations. Many of these applications are multiscale and contain high contrast variations in the media properties. It requires very small time step size to perform detailed c
Externí odkaz:
http://arxiv.org/abs/2108.12989
In the current work we build a difference analog of the Caputo fractional derivative with generalized memory kernel ($_\lambda$L2-1$_\sigma$ formula). The fundamental features of this difference operator are studied and on its ground some difference
Externí odkaz:
http://arxiv.org/abs/2108.10596
Publikováno v:
In Mathematics and Computers in Simulation May 2024 219:337-354
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2024 438