Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model [PDF]
, 2013 We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach ...
Giesselmann, Jan
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Unconditionally Stable Algorithm for Copolymer and Copolymer-Solvent Systems
Papers in Physics, 2020 In the time evolution simulation of a copolymer system towards its equilibrium configuration, it is common to use the Otha-Kawasaki approach for free energy and time evolution by means of a Cahn-Hilliard diffusion equation.
Aldo Pezzutti, Hugo Hernández
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An approximate Solution of Heat Equation in Three Dimensions by LOD Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, we solve one of the parabolic partial differential equations in three dimensions which is heat equation with Locally One Dimension methods, and by comparing the results by this method with the exact solution, we see that the results are ...
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Developing and analyzing an explicit unconditionally stable finite element scheme for an equivalent Bérenger’s PML model [PDF]
, 2023 The original Bérenger’s perfectly matched layer (PML) was quite effective in simulating wave propagation problem in unbounded domains. But its stability is very challenging to prove.
Huang, Yunqing +5 more
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Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method
Eurasian Journal of Science and Engineering, 2023 This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
Hoshman Q. Hamad, Younis A. Sabawi
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A splitting type algorithm for numerical solution of PDEs of fractional order
Mathematical Modelling and Analysis, 2007 Fractional order diffusion equations are generalizations of classical diffusion equations, treating super‐diffusive flow processes. In this paper, we examine a splitting type numerical methods to solve a class of two‐dimensional initial‐boundary value ...
Natali Abrashina‐Zhadaeva
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Computation, 2023 New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally
Humam Kareem Jalghaf +3 more
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Unconditionally stable integration of Maxwell’s equations [PDF]
, 2008 Numerical integration of Maxwell’s equations is often based on explicit methods accepting a stability step size restriction. In literature evidence is given that there is also a need for unconditionally stable methods, as exemplified by the successful ...
Verwer, J.G. +6 more
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Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation [PDF]
, 1998 Numerical methods for time stepping the Cahn-Hilliard equation are given and discussed. The methods are unconditionally gradient stable, and are uniquely solvable for all time steps.
David J. Eyre
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Analysis of second order and unconditionally stable BDF2-AB2 method for the Navier-Stokes equations with nonlinear time relaxation [PDF]
, 2018 0000-0003-1401-4553; 0000-0003-3578-2762WOS: 000445333600009In this study, we first consider a second order time stepping finite element BDF2-AB2 method for Navier-Stokes equations (NSE). We prove that the method is unconditionally stable and O(Delta t(2)
Osman Rasit Isik +5 more
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