A BDF2 method for a singularly perturbed transport equation
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2024.2351132
Abstract: A singularly perturbed transport equation is considered. A variable two-step backward differentiation formulas (BDF2) on a Shishkin-type mesh is used to discrete the first-order derivatives of the singularly perturbed transport equation. The stability and error… read more here.
Keywords: singularly perturbed; bdf2 method; transport equation; method singularly ... See more keywords
Numerical method for singularly perturbed delay parabolic partial differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Thermal Science"
DOI: 10.2298/tsci160615040w
Abstract: The barycentric interpolation collocation method is discussed in this paper, which is not valid for singularly perturbed delay partial differential equations. A modified version is proposed to overcome this disadvantage. Two numerical examples are provided… read more here.
Keywords: numerical method; singularly perturbed; method singularly; partial differential ... See more keywords
A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations
Sign Up to like & getrecommendations! Published in 2025 at "Axioms"
DOI: 10.3390/axioms14050362
Abstract: This article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used. The asymptotically… read more here.
Keywords: singularly perturbed; method; numerical results; small negative ... See more keywords
Regularization Method for Singularly Perturbed Integro-Differential Equations with Rapidly Oscillating Coefficients and Rapidly Changing Kernels
Sign Up to like & getrecommendations! Published in 2020 at "Axioms"
DOI: 10.3390/axioms9040131
Abstract: In this paper, we consider a system with rapidly oscillating coefficients, which includes an integral operator with an exponentially varying kernel. The main goal of the work is to develop an algorithm for the regularization… read more here.
Keywords: method singularly; singularly perturbed; regularization method; oscillating coefficients ... See more keywords