Results 31 to 40 of about 2,087 (169)
Nonlinear Engineering, 2020 The initial-boundary value problem for a pseudo-parabolic equation exhibiting initial layer is considered. For solving this problem numerically independence of the perturbation parameter, we propose a difference scheme which consists of the implicit ...
Mohapatra Jugal, Shakti Deepti
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A Fitted Numerical Approach for Singularly Perturbed Two-Parameter Parabolic Problem with Time Delay
Computational and Mathematical Methods, 2023 This paper is aimed at constructing and analyzing a fitted approach for singularly perturbed time delay parabolic problems with two small parameters. The proposed computational scheme comprises the implicit Euler and especially finite difference method ...
Imiru Takele Daba +2 more
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Numerical analysis of Bazykin–Berezovskaya model
Journal of Taibah University for Science, 2023 In this manuscript, a Bazykin–Berezovskaya model with diffusion by strong Allee effects is studied. Neumann boundary conditions are used to see the positive solution of a diffusion system.
Zain Ul Abadin Zafar +3 more
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Implicit High-Order Time Marching Schemes for the Linearized Euler Equations
AIAA Journal, 2006 High-order-accurate implicit time-marching methods are presented for discontinuous Galerkin and spectral volume high-order-accurate spatial discretizations of the linearized Euler equations that govern propagation of aeroacoustic disturbances. It is found that despite the additional computational time that is required for the solution of the large ...
Arambatzis, G. +3 more
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On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 In this paper, we propose implicit and semi-implicit in time finite volume schemes for the barotropic Euler equations (hence, as a particular case, for the shallow water equations) and for the full Euler equations, based on staggered discretizations.
Herbin, Raphaele +2 more
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A-stable spectral deferred correction method for nonlinear Allen-Cahn model
Alexandria Engineering JournalThis paper presents a type of A-stable spectral deferred correction (SDC) method. The scheme is initiated by the first-order backward Euler method. We adopt the linear stabilization approach for the Allen-Cahn model to get the linear semi-implicit SDC ...
Lin Yao, Xindong Zhang
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Numerical analysis of auto-catalytic glycolysis model
AIP Advances, 2019 The main purpose of this paper is to investigate the solution of general reaction–diffusion glycolysis system numerically. Glycolysis model demonstrates the positive solution as the unknown variables show concentration of chemical substances.
Nauman Ahmed +5 more
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Journal of Inequalities and Applications, 2017 The main purpose of this paper is to investigate the strong convergence and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations (SLSDDEs).
Ling Zhang
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Frontiers in Applied Mathematics and Statistics, 2022 This paper presents numerical treatments for a class of singularly perturbed parabolic partial differential equations with nonlocal boundary conditions. The problem has strong boundary layers at x = 0 and x = 1.
Getu Mekonnen Wondimu +3 more
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High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system
Advances in Aerodynamics, 2020 The computation of compressible flows at all Mach numbers is a very challenging problem. An efficient numerical method for solving this problem needs to have shock-capturing capability in the high Mach number regime, while it can deal with stiffness and ...
Yanqun Jiang +4 more
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