Results 31 to 40 of about 109 (98)

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

open access: yesDemonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

On the existence and the approximation of solutions of linear and nonlinear fractional order delay-integro-differential equations with vanishing variable delays

open access: yesNonlinear Engineering
In this study, we investigate the application of the meshless collocation technique using radial basis functions (RBF) to approximate a class of linear and nonlinear fractional order delay-integro-differential equations with vanishing variable delays ...
Aourir Essaid   +4 more
doaj   +1 more source

The Partition of Unity Method for the Elastically Supported Beam

open access: yes, 1998
The partition of unity method (PUM) is used to solve the Timoshenko beam with elastic support. Some important features of this new method are addressed, but the main concern is to overcome locking and boundary layer.
Ivo Babuska, Zhimin Zhang
core   +1 more source

PROPOSITIONS on the ROBUSTNESS of MULTISTEP FORMULAE

open access: yes, 1994
Classical analysis of linear multistep formulae (LMFs) for initial-value problems in ordinary differential equations (ODEs) has concentrated on problems satisfying uniform Lipschitz or one-sided Lipschitz conditions, and corresponding stability models ...
Christopher T.H. Baker
core   +1 more source

Single Step Smooth Interface for Parabolic Spectral Elements

open access: yes, 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  

Exploiting structure in the construction of DIMSIMs

open access: yes, 1997
. We describe the structure of the nonlinear system for the coefficients of diagonally implicit multistage integration methods for ordinary differential equations.
H. D. Mittelmann, Z. Jackiewicz
core  

Multiresolutional Methods for Difference Equations

open access: yes, 1994
. We develop a stable direct method with linear complexity for solving large banded sparse linear systems which are typical for the finite difference discretization of one-dimensional differential equations.
Wei-Chang Shann, I-Liang Chern
core  

Stable Parallel Elimination For Boundary Value Odes

open access: yes, 1991
. A parallelizable and vectorizable algorithm for solving linear algebraic systems arising from two-point boundary value ODEs is described. The method is equivalent to Gaussian elimination, with row partial pivoting, applied to a certain row- and column-
Stephen Wright
core  

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

open access: yes, 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  

Convergence Results for the MATLAB ode23 Routine

open access: yes, 1998
We prove convergence results on finite time intervals, as the user-defined tolerance ø ! 0, for a class of adaptive timestepping ODE solvers that includes the ode23 routine supplied in MATLAB Version 4.2.
Lamba, H.   +3 more
core  

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