Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations



Título del documento: Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations
Revista: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000268605
ISSN: 1807-0302
Autors: 1
Institucions: 1IIT Kanpur, Department of Mathematics, Kanpur, Uttar Pradesh. India
Any:
Període: May-Ago
Volum: 24
Número: 2
Paginació: 151-172
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the study focuses on the effect of delay on the boundary layer behavior of the solution via numerical approach. The effect of the delay on the boundary layer behavior of the solution is shown by carrying out some numerical experiments
Disciplines Matemáticas
Paraules clau: Matemáticas aplicadas,
Ecuación de retraso diferencial,
Sistemas perturbados,
Problemas de contorno,
Capa límite,
Oscilaciones
Keyword: Mathematics,
Applied mathematics,
Delay differential equation,
Perturbed system,
Boundary layer,
Oscillations,
Boundary problems
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