Results 21 to 30 of about 159 (69)

An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems

Communications in Computational Physics, 2019
In this paper, an efficient spectral Petrov-Galerkin time-stepping method for solving nonlinear Hamiltonian systems is presented and studied. Conservation properties of the proposed method (including symplectic structure preserving and energy ...
Jing An
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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, M.A. Firoozjaee, S.J. Johnston   +2 more
doaj  

Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters

Demonstratio Mathematica
This study is devoted to designing two hybrid computational algorithms to find approximate solutions for a class of singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters.
Ansari Khursheed J., Izadi Mohammad, Noeiaghdam Samad   +2 more
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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering

Nonlinear Engineering
This 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, Atta Ahmed Gamal, Abu Waar Ziad Yousef, Moustafa Mohamed Orabi   +3 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
doaj  

Numerical study of the two-term time-fractional differential equation using the Lagrange polynomial pseudo-spectral method

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
doaj  

A Conformal Energy-Conserved Method for Maxwell’s Equations with Perfectly Matched Layers

Communications in Computational Physics, 2019
In this paper, a conformal energy-conserved scheme is proposed for solving the Maxwell’s equations with the perfectly matched layer. The equations are split as a Hamiltonian system and a dissipative system, respectively.
Chaolong Jiang, Jin-Chao Cui, Yushun Wang   +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, Edson Pindza, Eben Maré   +2 more
doaj  

Numerical study of self-adjoint singularly perturbed two-point boundary value problems using collocation method with error estimation

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, A.R. Hadhoud, M.A. Shaalan   +2 more
doaj  

A Linear Implicit L1-Legendre Galerkin Chebyshev Collocation Method for Generalized Time- and Space-Fractional Burgers Equation

Journal of Computational Mathematics, 2019
In this paper, a linear implicit L1-Legendre Galerkin Chebyshev collocation method for the generalized timeand space-fractional Burgers equation is developed.
Y. Ma
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