Search results for "singularly perturbed parabolic problem"

showing 2 items of 2 documents

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

2021

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.

Computational TechniquePartial differential equationlaguerre polynomials and seriesComputer scienceElectronic computers. Computer sciencedelay partial differential equationApplied mathematicslaguerre matrix-collocation methodQA75.5-76.95singularly perturbed parabolic problemconvergence analysisFoundations of Computing and Decision Sciences
researchProduct

Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems

1999

Abstract Parallel multi-level algorithms combining a time discretization and an overlapping domain decomposition technique are applied to the numerical solution of singularly perturbed parabolic problems. Two methods based on the Schwarz alternating procedure are considered: a two-level method with auxiliary “correcting” subproblems as well as a three-level method with auxiliary “predicting” and “correcting” subproblems. Moreover, modifications of the methods using time extrapolation on subdomain interfaces are investigated. The emphasis is given to the description of the algorithms as well as their computer realization on a distributed memory multiprocessor computer. Numerical experiments …

Predictor–corrector methodParallel computingSingular perturbationPartial differential equationDiscretizationApplied MathematicsMathematical analysisExtrapolationMathematicsofComputing_NUMERICALANALYSISDomain decomposition methodsComputational MathematicsMulti-level Schwarz methodApplied mathematicsSingularly perturbed parabolic problemDistributed memorySchwarz alternating methodMathematicsJournal of Computational and Applied Mathematics
researchProduct