Year 2020, Volume 49 , Issue 1, Pages 221 - 235 2020-02-06

Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh

A.s.v. Ravi KANTH [1] , P. Murali Mohan KUMAR [2]


This article presents a hybrid numerical scheme for a class of linear and nonlinear singularly perturbed convection delay problems on piecewise uniform. The proposed hybrid numerical scheme comprises with the tension spline scheme in the boundary layer region and the midpoint approximation in the outer region on piecewise uniform mesh. Error analysis of the proposed scheme is discussed and is shown $\varepsilon$-uniformly convergent. Numerical experiments for linear and nonlinear are performed to confirm the theoretical analysis.
Nonlinear delay problems, differential-difference equations, singular perturbation problems, tension spline, Shishkin mesh
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Primary Language en
Subjects Mathematics
Journal Section Mathematics
Authors

Orcid: 0000-0002-5266-7945
Author: A.s.v. Ravi KANTH
Institution: National Institute of Technology Kurukshetra
Country: India


Orcid: 0000-0001-8472-9023
Author: P. Murali Mohan KUMAR
Institution: National Institute of Technology Kurukshetra
Country: India


Dates

Publication Date : February 6, 2020

Bibtex @research article { hujms546981, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {221 - 235}, doi = {10.15672/hujms.546981}, title = {Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh}, key = {cite}, author = {KANTH, A.s.v. Ravi and KUMAR, P. Murali Mohan} }
APA KANTH, A , KUMAR, P . (2020). Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 221-235 . DOI: 10.15672/hujms.546981
MLA KANTH, A , KUMAR, P . "Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 221-235 <https://dergipark.org.tr/en/pub/hujms/issue/52287/546981>
Chicago KANTH, A , KUMAR, P . "Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 221-235
RIS TY - JOUR T1 - Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh AU - A.s.v. Ravi KANTH , P. Murali Mohan KUMAR Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.546981 DO - 10.15672/hujms.546981 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 221 EP - 235 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.546981 UR - https://doi.org/10.15672/hujms.546981 Y2 - 2018 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh %A A.s.v. Ravi KANTH , P. Murali Mohan KUMAR %T Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/hujms.546981 %U 10.15672/hujms.546981
ISNAD KANTH, A.s.v. Ravi , KUMAR, P. Murali Mohan . "Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 221-235 . https://doi.org/10.15672/hujms.546981
AMA KANTH A , KUMAR P . Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 221-235.
Vancouver KANTH A , KUMAR P . Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 235-221.