A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations
2021
scientific article
english
- Laguerre polynomials and series
- singularly perturbed parabolic problem
- delay partial differential equation
- convergence analysis
- Laguerre matrix-collocation method
EN In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction- diffusion type problems involving boundary and initial conditions is introduced. The approximate solution of the problem is obtained by truncated Laguerre series. More- over convergence analysis is introduced and stability is explained. Besides, a test case is given and the error analysis is considered by the different norms in order to show the applicability of the method.
17.09.2021
221 - 233
CC BY-NC-ND (attribution - noncommercial - no derivatives)
open journal
final published version
at the time of publication
40
40