A second order numerical scheme for the improved Boussinesq equation

2007 ◽  
Vol 370 (2) ◽  
pp. 145-147 ◽  
Author(s):  
A.G. Bratsos
Keyword(s):  
Numerical Scheme ◽  
Boussinesq Equation ◽  
Second Order

A second order operator splitting numerical scheme for the “good” Boussinesq equation

2017 ◽  
Vol 119 ◽  
pp. 179-193 ◽  
Author(s):  
Cheng Zhang ◽  
Hui Wang ◽  
Jingfang Huang ◽  
Cheng Wang ◽  
Xingye Yue
Keyword(s):  
Numerical Scheme ◽  
Boussinesq Equation ◽  
Operator Splitting ◽  
Second Order ◽  
Order Operator

A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

2019 ◽  
Vol 57 (1) ◽  
pp. 495-525 ◽  
Author(s):  
Wenbin Chen ◽  
Xiaoming Wang ◽  
Yue Yan ◽  
Zhuying Zhang
Keyword(s):  
Numerical Scheme ◽  
Second Order ◽  
Hilliard Equation ◽  
Cahn Hilliard Equation

scholarly journals Numerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3050
Author(s):  
Sarita Nandal ◽  
Mahmoud A. Zaky ◽  
Rob H. De Staelen ◽  
Ahmed S. Hendy
Keyword(s):  
Fourth Order ◽  
Numerical Scheme ◽  
Source Term ◽  
Variable Coefficients ◽  
Second Order ◽  
Order Accuracy ◽  
Nonlinear Source ◽  
Second Order In Time ◽  
Convergence Orders ◽  
Temporal Direction

The purpose of this paper is to develop a numerical scheme for the two-dimensional fourth-order fractional subdiffusion equation with variable coefficients and delay. Using the L2−1σ approximation of the time Caputo derivative, a finite difference method with second-order accuracy in the temporal direction is achieved. The novelty of this paper is to introduce a numerical scheme for the problem under consideration with variable coefficients, nonlinear source term, and delay time constant. The numerical results show that the global convergence orders for spatial and time dimensions are approximately fourth order in space and second-order in time.

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