Results 41 to 50 of about 113,433 (127)
Convergence and nonconvergence in a nonlocal gradient flow
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We study the asymptotic convergence as t→∞$t\rightarrow \infty$ of solutions of ∂tu=−f(u)+∫f(u)$\partial _t u=-f(u)+\int f(u)$, a nonlocal differential equation that is formally a gradient flow in a constant‐mass subspace of L2$L^2$ arising from simplified models of phase transitions. In case the solution takes finitely many values, we provide
Sangmin Park, Robert L. Pego
wiley +1 more source
Bifurcation for non linear ordinary differential equations with singular perturbation
Electronic Journal of Differential Equations, 2016 We study a family of singularly perturbed ODEs with one parameter and compare their solutions to the ones of the corresponding reduced equations. The interesting characteristic here is that the reduced equations have more than one solution for a ...
Safia Acher Spitalier, Rachid Bebbouchi
doaj
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
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
Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion [PDF]
, 2007 Even the simplest advection-diffusion problems can exhibit multiple time scales. This means that robust variable step time integrators are a prerequisite if such problems are to be efficiently solved computationally.
Philip M. Gresho +9 more
core +1 more source
Smooth attractive invariant manifolds of singularly perturbed ODE's
, 1992 SAM Research Report, 1992 ...
openaire +2 more sources
Resurgent aspects of applied exponential asymptotics
Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley +1 more source
Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Equation with Small Time Delay
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this article, a uniformly convergent numerical scheme is developed to solve a singularly perturbed convection‐diffusion equation with a small delay having a boundary layer along the left side. A priori bounds of continuous solution and its derivatives are discussed.
Sisay Ketema Tesfaye +4 more
wiley +1 more source
An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems [PDF]
, 2020 In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
Padmaja, P. +5 more
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Quasilinear and quadratic singularly perturbed Neumann's problem [PDF]
, 1998 summary:The problem of existence and asymptotic behaviour of solutions of the quasilinear and quadratic singularly perturbed Neumann's problem as a small parameter at the highest derivative tends to zero is ...
Vrábeľ, Róbert
core +1 more source