On the sparse multi-scale solution of the delay differential equations by an efficient algorithm

作者：

Highlights：

• Developing a Galerkin based multi-scale method for Delay differential equations.

• Reducing the computational cost using thresholding and interpolation property of Alpert’s multiwavelets.

• The convergence analysis and numerical simulations indicate that the proposed method gives a satisfactory approximation to the exact solution

摘要

•Developing a Galerkin based multi-scale method for Delay differential equations.•Reducing the computational cost using thresholding and interpolation property of Alpert’s multiwavelets.•The convergence analysis and numerical simulations indicate that the proposed method gives a satisfactory approximation to the exact solution

论文关键词：Wavelet Galerkin method,Delay systems,Multiwavelets,Multi-scale transformation

论文评审过程：Received 25 June 2019, Revised 12 February 2020, Accepted 6 April 2020, Available online 29 April 2020, Version of Record 29 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125291