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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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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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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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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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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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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
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Mathematical Modelling and Analysis, 2012 This paper deals with the numerical solution of a two-dimensional thermoporoelasticity problem using a finite-difference scheme. Two issues are discussed: stability and convergence in discrete energy norms of the finite-difference scheme are proved, and ...
Natalia Boal +3 more
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Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Open Physics, 2023 Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas +2 more
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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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Existence and uniqueness of an inverse problem for a second order hyperbolic equation
Universal Journal of Mathematics and Applications, 2018 In this paper, an initial boundary value problem for a second order hyperbolic equation is considered. Giving an additional condition, a time-dependent coefficient multiplying a linear term is determined and existence and uniqueness theorem for small ...
İbrahim Tekin
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