Energy Preserving Finite Difference Scheme for Sixth Order Boussinesq Equation
نویسندگان
چکیده
منابع مشابه
A Compact Fourth-order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms
Fuqiang Lu, Zhiyao Song and Zhuo Zhang Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing, 210023, China State Key Laboratory Cultivation Base of Geographical Environment Evolution (Jiangsu Province), Nanjing, 210023, China Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanji...
متن کاملA Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
In this paper, we present a finite difference scheme for a class of time fractional diffusion equation with variable coefficient, where the fractional derivative is defined by the Caputo derivative. The present algorithm is unconditionally stable, and possess spatial sixth order and temporal 2 − α order accuracy, which is an improvement of the spatial fourth order accuracy in the existing resul...
متن کاملAn Accuracy Progressive Sixth-Order Finite-Difference Scheme
How to reduce the computational error is a key issue in numerical modeling and simulation. The higher the order of the difference scheme, the less the truncation error and the more complicated the computation. For compromise, a simple, three-point accuracy progressive (AP) finite-difference scheme for numerical calculation is proposed. The major features of the AP scheme are three-point, high-o...
متن کاملA sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
Keywords: Compact schemes Finite difference method Burgers' equation Low-storage Runge–Kutta scheme a b s t r a c t A numerical solution of the one-dimensional Burgers' equation is obtained using a sixth-order compact finite difference method. To achieve this, a tridiagonal sixth-order compact finite difference scheme in space and a low-storage third-order total variation diminishing Runge–Kutt...
متن کاملCauchy Problem for the Sixth-order Damped Multidimensional Boussinesq Equation
In this article, we consider the Cauchy problem for sixth-order damped Boussinesq equation in Rn. The well-posedness of global solutions and blow-up of solutions are obtained. The asymptotic behavior of the solution is established by the multiplier method.
متن کاملذخیره 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: Procedia Engineering
سال: 2017
ISSN: 1877-7058
DOI: 10.1016/j.proeng.2017.09.501