Results 1 to 10 of about 1,758,948 (170)
A Nodal Immersed Finite Element-Finite Difference Method. [PDF]
J Comput Phys, 2023 The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces on a structural mesh and a finite difference (FD) method to approximate the momentum of the entire fluid ...
Wells D +3 more
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Finite difference magnetoelastic simulator. [PDF]
Open Res Eur, 2021 We describe an extension of the micromagnetic finite difference simulation software MuMax3 to solve elasto-magneto-dynamical problems. The new module allows for numerical simulations of magnetization and displacement dynamics in magnetostrictive materials and structures, including both direct and inverse magnetostriction.
Vanderveken F +7 more
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Finite-Difference Operators for 2D problems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 This paper presents the concept of using algorithms for reducing the dimensions of finite-difference equations of two-dimensional (2D) problems, for second-order partial differential equations.
T. Sobczyk
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Multiplicative finite difference methods [PDF]
Quarterly of Applied Mathematics, 2009 Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these new approaches.
Rıza, Mustafa +2 more
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MethodsX, 2023 This paper reports a new fourth order Finite Difference Method (FDM) in exponential form for two-dimensional quasilinear boundary value problem of elliptic type (BVPE) with variant solution domain.
Nikita Setia, R.K. Mohanty
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Finite difference schemes with monotone operators
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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MethodsX, 2023 We consider two-parameter singularly perturbed problems of reaction-convection-diffusion type in one dimension. The convection coefficient and source term are discontinuous at a point in the domain.
Nirmali Roy, Anuradha Jha
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MethodsX, 2023 A compartmental mathematical model of spreading COVID-19 disease in Wuhan, China is applied to investigate the pandemic behaviour in Iran. This model is a system of seven ordinary differential equations including individual behavioural reactions ...
Khadijeh Sadri +2 more
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A two-dimensional linear elasticity problem for anisotropic materials, solved with a parallelization code [PDF]
INCAS Bulletin, 2010 The present paper introduces a numerical approach of static linear elasticity equations for anisotropic materials. The domain and boundary conditions are simple, to enhance an easy implementation of the finite difference scheme. SOR and gradient are used
Mihai-Victor PRICOP, Cornelia NIŢǍ
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Conservative finite difference schemes for dynamical systems
Discrete and Continuous Models and Applied Computational Science, 2022 The article presents the implementation of one of the approaches to the integration of dynamical systems, which preserves algebraic integrals in the original fdm for Sage system.
Yu Ying, Zhen Lu
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