Results 61 to 70 of about 594 (186)
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, we considered a singular perturbation problem of two‐dimensional, linear elliptic partial differential equations having both positive and negative shifts in both directions of the reaction terms, whose solution exhibits characteristic boundary layers.
Vivek K. +2 more
wiley +1 more source
Singular perturbation boundary and interior layers problems with multiple turning points
Boundary Value ProblemsIn the study of singularly perturbed boundary problems with turning points, the solution undergoes sharp changes near these points and exhibits various interior phenomena.
Xinyu Wang, Na Wang
doaj +1 more source
Journal of Ocean Engineering and Science, 2018 A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali +2 more
doaj +1 more source
DIFFUSION AND BIFURCATION PROBLEMS IN SINGULARLY PERTURBED DOMAINS [PDF]
Natural Resource Modeling, 2000 ABSTRACT. Diffusion problems under singular perturbations of the domain or the boundary conditions are analyzed. The first problem that we consider is the diffusion of a material from a domain that is nearly impermeable, having only several small patches on the boundary where the material can slowly leak out.
openaire +1 more source
Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele +2 more
wiley +1 more source
Ain Shams Engineering Journal, 2018 In this paper, a numerical method based on Shishkin mesh for a singularly perturbed fourth order differential equation with a turning point exhibiting boundary layers is presented. In this method the problem is transformed into a weakly coupled system of
N. Geetha, A. Tamilselvan
doaj +1 more source
Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S. +2 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясыThe article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
doaj +1 more source
Numerical Solution of Singularly Perturbed Delay Differential Equations with Layer Behavior
Abstract and Applied Analysis, 2014 We present a numerical method to solve boundary value problems (BVPs) for singularly perturbed differential-difference equations with negative shift. In recent papers, the term negative shift has been used for delay.
F. Ghomanjani +2 more
doaj +1 more source
International Journal of Differential Equations, 2019 In this paper, an initial value method for solving a class of linear second-order singularly perturbed differential difference equation containing mixed shifts is proposed.
Wondwosen Gebeyaw Melesse +2 more
doaj +1 more source