Results 11 to 20 of about 520 (46)
An effective approach to solve a system fractional differential equations
Alexandria Engineering Journal, 2020 The manuscript details a numerical method for solving a system of fractional differential equations (SFDEs) based on the Caputo fractional derivative by the Ritz method.
H. Jafari +2 more
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Efficient technique for solving variable order fractional optimal control problems
Alexandria Engineering Journal, 2020 We apply a novel computation approach to determine the numerical solution of variable-order fractional optimal control problems. The dynamic constraint of these problems is considered with variable-order (VO) fractional derivatives.
Haleh Tajadodi
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On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Advances in Nonlinear Analysis, 2019 In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
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Alexandria Engineering Journal, 2020 This paper is about the implementation of the pseudo-spectral method based on the Lagrange polynomials to the numerical study of the multi-term time-fractional differential equations.
Ali Shokri, Soheila Mirzaei
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Multiplicity and structures for traveling wave solutions of the Kuramoto‐Sivashinsky equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3839-3848, 2004., 2004 The Kuramoto‐Sivashinsky (KS) equation is known as a popular prototype to represent a system in which the transport of energy through nonlinear mode coupling produces a balance between long wavelength instability and short wavelength dissipation. Existing numerical results indicate that the KS equation admits three classes (namely, regular shock ...
Bao-Feng Feng
wiley +1 more source
Journal of Ocean Engineering and Science, 2018 A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali +2 more
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A robust spectral integral method for solving chaotic finance systems
Alexandria Engineering Journal, 2020 Nonlinear chaotic finance systems are represented by nonlinear ordinary differential equations and play a significant role in micro-and macroeconomics. In general, these systems do not have exact solutions.
Claude Rodrigue Bambe Moutsinga +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 305-313, 2000., 2000 It is well known that a polynomial‐based approximation scheme applied to a singularly perturbed equation is not uniformly convergent over the geometric domain of study. Such scheme results in a numerical solution, say σ which suffers from severe inaccuracies particularly in the boundary layer.
Dialla Konate
wiley +1 more source
A class of Galerkin schemes for time-dependent radiative transfer [PDF]
, 2015 The numerical solution of time-dependent radiative transfer problems is challenging, both, due to the high dimension as well as the anisotropic structure of the underlying integro-partial differential equation.
Egger, Herbert, Schlottbom, Matthias
core +2 more sources
Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations [PDF]
, 1993 A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented.
Maday, Yvon +3 more
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