Results 61 to 70 of about 421,152 (262)

A Numerical Study on the Difference Solution of Singularly Perturbed Semilinear Problem with Integral Boundary Condition

Mathematical Modelling and Analysis, 2016
The present study is concerned with the numerical solution, using finite difference method on a piecewise uniform mesh (Shishkin type mesh) for a singularly perturbed semilinear boundary value problem with integral boundary condition.
Musa Cakir
doaj   +1 more source

A MODIFIED DURAN-SHISHKIN MESH FOR A SINGULARLY PERTURBED THIRD ORDER BOUNDARY VALUE PROBLEM

Mathematics in Engineering
In this article, a third order singularly perturbed problem with a weak layer is considered. To obtain approximation to the solution of this problem, a standard difference scheme on a new modification of the Duran-Shishkin mesh is used.
Mirjana Brdar, Goran Radojev, Ljiljana Teofanov   +2 more
openalex   +2 more sources

HP-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II. Optimization of the Runge-Kutta smoother [PDF]

, 2011
Using a detailed multilevel analysis of the complete hp-Multigrid as Smoother algorithm accurate predictions are obtained of the spectral radius and operator norms of the multigrid error transformation operator.
Rhebergen, S., Vegt, J.J.W. van der
core   +4 more sources

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

Ain Shams Engineering Journal, 2018
In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj   +1 more source

A Shishkin mesh for a singularly perturbed Riccati equation

Journal of Computational and Applied Mathematics, 2005
The paper deals with the singularly perturbed initial value problem \((\varepsilon u'+a(u^2-g^2))(x)=0\), \(x>0\), \(u(0)=A\), where \(a,g\in C^1[0,L)\) and \(\varepsilon >0\) is a small parameter. Bounds on the solution and its derivatives are derived. A numerical method for solving the equation is proposed based on a Shiskin mesh and error bounds for
O Reilly, M.J., O’Riordan, E.
openaire   +2 more sources

Some numerical experiments with multigrid methods on Shishkin meshes

Journal of Computational and Applied Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaspar, F.J., Clavero, C., Lisbona, F.
openaire   +2 more sources

Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2022
This article deals with an effcient approximation method named successive complementary expansion method (SCEM) for solving singularly perturbed differential-difference equations with mixed shifts.
S. Priyadarshana, S.R. Sahu, J. Mohapatra   +2 more
doaj   +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.
Gresho, Philip M., Griffiths, David, Silvester, David J.   +2 more
core   +3 more sources

Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh

, 2019
This article presents a hybrid numerical scheme for a class of linear and nonlinear singularly perturbed convection delay problems on piecewise uniform.
A.S.V. Ravi Kanth, P. Murali Mohan Kumar
openalex   +3 more sources

An efficient numerical approach for solving singularly perturbed parabolic differential equations with large negative shift and integral boundary condition

Applied Mathematics in Science and Engineering, 2023
In this study, we consider singularly perturbed large negative shift parabolic reaction–diffusion with integral boundary condition. The continuous solution's properties are discussed.
Wakjira Tolassa Gobena, Gemechis File Duressa   +1 more
doaj   +1 more source