An Effective Numerical Algorithm Based on Stable Recovery for Partial Differential Equations With Distributed Delay | Zendy

Ziying He | Zendy; Fengyan Wu | Zendy; Hongyu Qin | Zendy

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An Effective Numerical Algorithm Based on Stable Recovery for Partial Differential Equations With Distributed Delay

Author(s) -

Ziying He,

Fengyan Wu,

Hongyu Qin

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2882133

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

This paper is concerned with the numerical approximation of a nonlinear convection–reaction–diffusion equation with distributed delay. Using the stable recovery, we convert the original equation into nonlinear reaction–diffusion equation with distributed delay. Then, we propose a fully discrete numerical scheme to approximate the reduced equation. We investigate solvability, convergence, and stability of the method. Besides, we present a numerical example to verify the effectiveness of the method.

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