A new numerical method to solve pantograph delay differential equations with convergence analysis

Advances in Difference Equations

article

Jafari, H.¹  Mahmoudi, M.¹  Noori Skandari, M. H.⁵ 

[1] Department of Mathematics, University of Mazandaran;Department of Mathematical Sciences, University of South Africa;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University;Faculty of Mathematical Sciences, Shahrood University of Technology

关键词: Pantograph delay differential equations;    Transferred Legendre pseudospectral method;    Convergence analysis;   

DOI  :  10.1186/s13662-021-03293-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations. At the first step, we transform the problem into a continuous-time optimization problem and then utilize a transferred Legendre pseudospectral method to discretize the problem. By solving this discrete problem, we can attain the pointwise and continuous estimated solutions for the major pantograph delay differential equation. The convergence of method has been considered. Also, numerical experiments are described to show the performance and precision of the presented technique. Moreover, the obtained results are compared with those from other techniques.

【 授权许可】

CC BY