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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. The IFED method uses a finite element (FE) method to approximate the stresses, forces, and structural deformations on a structural mesh and a finite difference (FD) method to approximate the ...
Wells D +3 more
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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
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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
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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
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Finite Elements in Analysis and Design, 2005 A finite element/finite difference method (FEM/FDM) is developed to solve the time-dependent temperature field in non-homogeneous materials such as functionally graded materials.
Wang, Baolin (R17839), Tian, Zhenhui
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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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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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Finite-Difference-Impedance Method for Time-Delay Systems
IEEE Access, 2022 The stability issues assessment by the impedance-based method demands the computation of accurate small-signal models. However, obtaining impedance models can be a time-consuming task if analytical models or the perturbation-based method are used ...
Juan Segundo-Ramirez +3 more
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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
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