Results 11 to 20 of about 31 (31)
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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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
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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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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
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PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION
Forum of Mathematics, Sigma, 2014 Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long
ERWAN FAOU +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study aims to present a spectral collocation approach for treating fractional Bagley–Torvik equations using fractional basis functions. The Bagley–Torvik equation is critically important in a wide range of applied scientific and engineering disciplines. The fractional form of the Bagley–Torvik equations enables the modeling of complex systems with
Taghipour M., Aminikhah H., Chang Phang
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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering
Nonlinear EngineeringThis study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan +3 more
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