Results 31 to 40 of about 70 (65)

PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK [PDF]

, 1999
AMS subject classifcations. 76D05, 35Q30, 65M70, 65N35 PII. S1064827597330157An efficient and accurate algorithm for solving the two-dimensional (2D) incompressible Navier-Stokes equations on a disk with no-slip boundary conditions is described.
Torres, David J., Coutsias, Evangelos A.
core  

A novel third order integrator using polynomial–exponential–trigonometric basis functions for solving the Omicron virus model: South Africa as a case study

Results in Control and Optimization
This study introduces and analyzes a third-order integrator method that combines polynomial–exponential terms with specific trigonometric basis functions, referred to as the Novel Third-Order Integrator (NTOI) method. The proposed method was assessed for
S.E. Fadugba, N. Jeeva, M.C. Kekana, A.A. Adeniji, A.E. Fadugba, Sania Qureshi   +5 more
doaj   +1 more source

A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS

, 2013
This work is concerned with spectral Jacobi-collocation methods for Volterra integral equations of the second kind with a weakly singular of the form (t − s) −α . When the underlying solutions are sufficiently smooth, the convergence analysis was carried
Xianjuan Li, Tao Tang, Yanping Chen
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Legendre wavelets method for fractional integrodifferential equations,

, 2011
Legendre wavelets methods are commonly used for the numerical solution of integral equations. In this paper, we apply the Legendre wavelets method to approximate the solution of fractional integro-differential equations.
E A Rawashdeh
core  

Analysis of membrane locking in hp FEM for a cylindrical shell

, 2007
In this paper we analyze the performance of the hp\GammaFinite Element Method for a cylindrical shell problem. Our theoretical investigations show that the hp approximation converges exponentially, provided that boundary layers stemming from the edge ...
A. M. Matache, C. Schwab, K. Gerdes
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Version of Mixed Finite Element Methods for Parabolic Problems

, 1993
. We investigate a parabolic problem from the point of view of stability and approximation properties of increasing order mixed (in space) finite element methods. Previous estimates for the RaviartThomas projection are proven to be sharp.
Sonia M. F. Garcia, Sonia Garcia Department   +1 more
core   +1 more source

Decoupled Smooth Interfaces for Spectral-Element Approximations of Parabolic or Elliptic Type

, 2007
A method is examined to approximate the interface conditions for Chebyshev polynomial approximations to the solutions of parabolic problems, and a smoothing technique is used to calculate the interface conditions for a domain decomposition method.
Kelly Black
core  

Discrete-Time Orthogonal Spline Collocation Methods For Schrödinger Equations In Two Space Variables

, 1994
. Two discrete-time orthogonal spline collocation schemes are formulated and analyzed for solving the linear time-dependent Schrodinger equation in two space variables. These are CrankNicolson and alternating direction implicit (ADI) schemes employing C
Graeme Fairweather, Bingkun Li, Bernard Bialecki   +2 more
core  

Inertial Manifolds Under Multistep Discretization

, 1998
. Finite-dimensional inertial manifolds attract solutions to a nonlinear parabolic differential equation at an exponential rate. In this paper inertial manifolds for multistep discretizations of such equations are studied.
Jos L. M. Van Dorsselaer
core  

Single Step Smooth Interface for Parabolic Spectral Elements

, 2007
A method is examined to calculate a smooth interface for spectral elements. The idea of the method is to find a polynomial of one less degree that interpolates the interior and one side of a subdomain.
Kelly Black
core