Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation [PDF]
, 2015 We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational domain: finite difference method is used on the structured part of the computational domain and ...
Beilina, L.
arxiv +3 more sources
A Meshfree Generalized Finite Difference Method for Surface PDEs [PDF]
Computers and Mathematics with Applications, 2018 In this paper, we propose a novel meshfree Generalized Finite Difference Method (GFDM) approach to discretize PDEs defined on manifolds. Derivative approximations for the same are done directly on the tangent space, in a manner that mimics the procedure ...
Kuhnert, Joerg, Suchde, Pratik
core +2 more sources
Hybrid finite difference/finite element immersed boundary method [PDF]
International Journal for Numerical Methods in Biomedical Engineering, 2017 The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of ...
Griffith, Boyce E., Luo, Xiaoyu
core +5 more sources
Galerkin-finite difference method for fractional parabolic partial differential equations [PDF]
MethodsXThe fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan +2 more
doaj +2 more sources
A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]
Math. Models Methods Appl. Sci. 20, 2 (2010) 265--295, 2008 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Finite Difference scheme, the Hybrid Finite Volume scheme and the Mixed Finite Volume scheme are in fact identical up to some slight generalizations.
Eymard R. +4 more
arxiv +7 more sources
Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations [PDF]
BMC Research Notes, 2021 Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions.
Masho Jima Kabeto, Gemechis File Duressa
doaj +2 more sources
Efficient finite-difference method for computing sensitivities of biochemical reactions [PDF]
Proc Math Phys Eng Sci, 2018 Sensitivity analysis of biochemical reactions aims at quantifying the dependence of the reaction dynamics on the reaction rates. The computation of the parameter sensitivities, however, poses many computational challenges when taking stochastic noise ...
Thanh V, Zunino R, Priami C.
europepmc +2 more sources
Nonstandard finite difference method for solving complex-order fractional Burgers’ equations [PDF]
Journal of Advanced Research, 2020 The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers’ equations. A new parameter σt is presented in order to be consistent with the physical model problem.
N.H. Sweilam +2 more
doaj +2 more sources
Energy stability and convergence of SAV block-centered finite difference method for gradient flows [PDF]
Mathematics of Computation, 2018 We present in this paper construction and analysis of a block-centered finite difference method for the spatial discretization of the scalar auxiliary variable Crank-Nicolson scheme (SAV/CN-BCFD) for gradient flows, and show rigorously that scheme is ...
Xiaoli Li, Jie Shen, H. Rui
semanticscholar +1 more source
Suitable Methods for Solving COVID-19 Model in Iraq
Wasit Journal for Pure Sciences, 2023 Because the Coronavirus epidemic spread in Iraq, the COVID-19 epidemic of people quarantined due to infection is our application in this work. The numerical simulation methods used in this research are more suitable than other analytical and numerical ...
Maha A.Mohammed, Mahdi A. Sabea
doaj +1 more source