A Simulink-based software solution using the Infinity Computer methodology for higher order differentiation

作者：

Highlights：

• Numerical methods for real-life problems often require higher order derivatives.

• The visual programming MATLAB-based environment Simulink is considered.

• Efficient methods for exact higher order differentiation are absent in Simulink.

• Techniques for standard and Lie higher order derivatives in Simulink are proposed.

• The introduced numerical (not symbolic) methods use the Infinity Computer paradigm.

摘要

•Numerical methods for real-life problems often require higher order derivatives.•The visual programming MATLAB-based environment Simulink is considered.•Efficient methods for exact higher order differentiation are absent in Simulink.•Techniques for standard and Lie higher order derivatives in Simulink are proposed.•The introduced numerical (not symbolic) methods use the Infinity Computer paradigm.

论文关键词：Simulink,Computer simulation and modelling,The Infinity Computer,Scientific computing,Numerical differentiation

论文评审过程：Received 15 May 2020, Revised 4 August 2020, Accepted 9 August 2020, Available online 27 August 2020, Version of Record 11 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125606