A Legendre-Gauss collocation method for nonlinear delay differential equations | Zendy

Zhongqing Wang | Zendy; Li-Lian Wang | Zendy

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A Legendre-Gauss collocation method for nonlinear delay differential equations

Author(s) -

Zhongqing Wang,

Li-Lian Wang

Publication year - 2010

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2010.13.685

Subject(s) - legendre polynomials , collocation (remote sensing) , collocation method , gauss , convergence (economics) , orthogonal collocation , nonlinear system , mathematics , variable (mathematics) , scheme (mathematics) , domain (mathematical analysis) , differential equation , mathematical analysis , computer science , ordinary differential equation , physics , quantum mechanics , machine learning , economic growth , economics

In this paper, we introduce an efficient Legendre-Gauss collocation method for solving nonlinear delay differential equations with variable delay. We analyze the convergence of the single-step and multi-domain versions of the proposed method, and show that the scheme enjoys high order accuracy and can be implemented in a stable and efficient manner. We also make numerical comparison with other methods.

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