NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM INCLUDING BOTH DELAY AND BOUNDARY LAYER | Zendy

Erkan Çimen | Zendy

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NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM INCLUDING BOTH DELAY AND BOUNDARY LAYER

Author(s) -

Erkan Çimen

Publication year - 2018

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2018.034

Subject(s) - mathematics , mathematical analysis , boundary value problem , uniform convergence , piecewise , norm (philosophy) , nonlinear system , singular perturbation , convergence (economics) , computer network , physics , bandwidth (computing) , quantum mechanics , computer science , political science , law , economics , economic growth

Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed. Also, the method is proved that it gives essentially first order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.

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