当前位置: X-MOL 学术Appl. Numer. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Numerical technique for fractional variable-order differential equation of fourth-order with delay
Applied Numerical Mathematics ( IF 2.8 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.apnum.2020.11.021
Sarita Nandal , Dwijendra Narain Pandey

Abstract In this paper, we construct a new efficient numerical scheme for variable fractional order differential equation of fourth order with delay. Here, we propose to use parametric quintic spline in the spatial dimension and L 2 − 1 σ formula for time dimension. The stability, convergence, and solvability are rigorously proved using discrete energy method. Our proposed scheme improves convergence in both aspects (spatial-dimension and time-dimension) in comparison to those earlier work. Numerical simulation is carried out using the MATLAB software to demonstrate the effectiveness of our scheme.

中文翻译:

带延迟的四阶分数阶变阶微分方程的数值方法

摘要 在本文中,我们构造了一种新的具有延迟的四阶变分数阶微分方程的有效数值格式。在这里,我们建议在空间维度上使用参数五次样条,在时间维度上使用 L 2 − 1 σ 公式。使用离散能量方法严格证明了稳定性、收敛性和可解性。与早期的工作相比,我们提出的方案在两个方面(空间维度和时间维度)都提高了收敛性。使用MATLAB软件进行数值模拟以证明我们方案的有效性。
更新日期:2021-03-01
down
wechat
bug