Results 41 to 50 of about 167 (129)
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano ...
Nuru Ahmed Endrie +2 more
wiley +1 more source
Semidiscrete Shocks for the Full Velocity Difference Model
Applied Mathematics & Optimization, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nader El Khatib +2 more
openaire +2 more sources
A broad class of conservative numerical methods for dispersive wave equations
, 2020 We develop a general framework for designing conservative numerical methods based on summation by parts operators and split forms in space, combined with relaxation Runge-Kutta methods in time.
Ketcheson, David I. +3 more
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, 2021 We develop error-control based time integration algorithms for compressible fluid dynamics (CFD) applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime.
Ketcheson, David I. +7 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, a numerical scheme for time‐delay singularly perturbed parabolic convection‐diffusion problems with boundary turning points is presented. The solution of the problem shows a steep gradient or rapid variation at the left region of the spatial domain as the perturbation parameter approaches zero.
Yimesgen Mehari Kebede +3 more
wiley +1 more source
A semidiscrete scheme for evolution equations with memory
Discrete and Continuous Dynamical Systems, 2019 We introduce a new mathematical framework for the time discretization of evolution equations with memory. As a model, we focus on an abstract version of the equation partial derivative(t)u(t) - integral(infinity)(0) g(s)Delta u(t - s) ds = 0 with Dirichlet boundary conditions, modeling hereditary heat conduction with Gurtin-Pipkin thermal law.
Dell'Oro, Filippo +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This work investigates the solution of convection‐diffusion parabolic partial‐differential problems with boundary turning points that are singularly perturbed. These types of problems are stiff for the following reason: the small parameter multiplying coefficient of the diffusion term and the presence of boundary turning points.
Yimesgen Mehari Kebede +3 more
wiley +1 more source
The Norsett time integration methodology for finite element transient analysis
, 2002 This paper presents a set of methods for time integration of problems arising from finite element semidiscretizations. The purpose is to obtain computationally efficient methods which possess higher-order accuracy and controllable dissipation in the ...
MANCUSO, Massimo, Ubertini F.
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A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie +3 more
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper provides numerical solutions to a class of singularly perturbed differential–difference equations characterized by mixed shift parameters. The solutions of such problems exhibit sharp boundary layers near the endpoints of the spatial domain due to the presence of a small perturbation parameter ε(0 < ε ≪ 1).
Amare Worku Demsie +3 more
wiley +1 more source