2
Department of Mathematics National Institute of Technology, Kurukshetra
10.22034/kjm.2020.210616.1650
Abstract
This article presents a solution for a class of singularly perturbed convection with delay problems arising in control theory. The approach of extending Taylor's series for the convection term gives to a bad approximation when the delay is not smaller order of singular perturbation parameter. To handle the delay term, we model an interesting mesh form such that the delay term lies on mesh points. The parametric cubic spline is adapted to the continuous problem on a specially designed mesh. The truncation error for the proposed method is derived. Numerical examples are experimented to examine the effect of the delay parameter on the layer structure.
Palli, M. M. K., & Ravi Kanth, A. (2021). Numerical simulation for a class of singularly perturbed convection delay problems. Khayyam Journal of Mathematics, 7(1), 52-64. doi: 10.22034/kjm.2020.210616.1650
MLA
Murali Mohan Kumar Palli; A.S.V. Ravi Kanth. "Numerical simulation for a class of singularly perturbed convection delay problems". Khayyam Journal of Mathematics, 7, 1, 2021, 52-64. doi: 10.22034/kjm.2020.210616.1650
HARVARD
Palli, M. M. K., Ravi Kanth, A. (2021). 'Numerical simulation for a class of singularly perturbed convection delay problems', Khayyam Journal of Mathematics, 7(1), pp. 52-64. doi: 10.22034/kjm.2020.210616.1650
VANCOUVER
Palli, M. M. K., Ravi Kanth, A. Numerical simulation for a class of singularly perturbed convection delay problems. Khayyam Journal of Mathematics, 2021; 7(1): 52-64. doi: 10.22034/kjm.2020.210616.1650
)