6533b839fe1ef96bd12a5b91
RESEARCH PRODUCT
A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations
Burcu Gürbüzsubject
Computational TechniquePartial differential equationlaguerre polynomials and seriesComputer scienceElectronic computers. Computer sciencedelay partial differential equationApplied mathematicslaguerre matrix-collocation methodQA75.5-76.95singularly perturbed parabolic problemconvergence analysisdescription
Abstract 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. Moreover 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-09-01 | Foundations of Computing and Decision Sciences |