A numerical approach to approximate the solution of a quasilinear singularly perturbed parabolic convection diffusion problem having a non-smooth source term

A numerical approach to approximate the solution of a quasilinear singularly perturbed parabolic convection diffusion problem having a non-smooth source term

The objective of the present paper is to solve a one-dimensional quasilinear parabolic singularly perturbed problem with a discontinuous source term. Due to the presence of such a discontinuity, an interior layer exists at the location of the discontinuity. The problem is solved by discretizing the...

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Bibliographic Details
Main Authors: Ruby, Vembu Shanthi, Higinio Ramos
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
convection diffusion
quasilinear
singular perturbation
shishkin mesh
standard upwind scheme
backward euler method
discontinuous source term
weak interior layer
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025313
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https://www.aimspress.com/article/doi/10.3934/math.2025313

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