Stabilized exponential time differencing schemes for the convective Allen–Cahn equation

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An exponential time differencing method for the nonlinear Schrödinger equation

The spectral methods offer very high spatial resolution for a wide range of nonlinear wave equations, so, for the best computational efficiency, it should be desirable to use also high order methods in time but without very strict restrictions on the step size by reason of numerical stability. In this paper we study the exponential time differencing fourth-order Runge-Kutta (ETDRK4) method; thi...

متن کامل

Exponential-time differencing schemes for low-mass DPD systems

Several exponential-time differencing (ETD) schemes are introduced into the method of dissipative particle dynamics (DPD) to solve the resulting stiff stochastic differential equations in the limit of small mass, where emphasis is placed on the handling of the fluctuating terms (i.e., those involving the random forces). Their performances are investigated numerically in some test viscometric fl...

متن کامل

Exponential Time Differencing for Stiff Systems

We develop a class of numerical methods for stiff systems, based on the method of exponential time differencing. We describe schemes with secondand higher-order accuracy, introduce new Runge–Kutta versions of these schemes, and extend the method to show how it may be applied to systems whose linear part is nondiagonal. We test the method against other common schemes, including integrating facto...

متن کامل

Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications

We study in this paper the exponential time differencing (ETD) schemes and their modifications via complex contour integrations for the numerical solutions of parabolic type equations. We illustrate that the contour integration shares an added advantage of improving the stability of the time integration. In addition, we demonstrate the effectiveness of the ETD type schemes through the numerical...

متن کامل

Numerical Solution of the Generalized Burgers-Huxley Equation by Exponential Time Differencing Scheme

Numerical solutions of nonlinear partial differential equations, such as the generalized and extended Burgers-Huxley equations which combine effects of advection, diffusion, dispersion and nonlinear transfer are considered in this paper. Such system can be divided into linear and nonlinear parts, which allow the use of two numerical approaches. Higher order finite difference schemes are employe...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications in Mathematical Sciences

سال: 2023

ISSN: ['1539-6746', '1945-0796']

DOI: https://doi.org/10.4310/cms.2023.v21.n1.a6