Results 31 to 40 of about 1,077 (118)

A new high accurate approximate approach to solve optimal control problems of fractional order via efficient basis functions

Alexandria Engineering Journal, 2022
Investigation of spectral (collocation or Galerkin) methods for the solution approximation of different classes of optimal control problems have had been increased in recent years.
Pang Xiaobing, Xingfa Yang, Mohammad Hadi Noori Skandari, Emran Tohidi, Stanford Shateyi   +4 more
doaj   +1 more source

Effects of Double Stratification on MHD Flow and Heat Transfer of Nanofluid along a Permeable Vertical Plate [PDF]

International Journal of Mathematical, Engineering and Management Sciences, 2019
This numerical work deals with the problem of Magnetohydrodynamics (MHD) flow of a doubly stratified Buongiorno’s nanofluid along a permeable vertical flat plate.
P. Murali Krishna, Ch. Ramreddy, Ch. Venkata Rao   +2 more
doaj   +1 more source

Application of a Legendre collocation method to the space–time variable fractional-order advection–dispersion equation

Journal of Taibah University for Science, 2019
In this paper, an efficient spectral collocation method is presented for solving the space–time variable-order fractional advection–dispersion equations (ST-VO-FADE).
F. Mallawi, J. F. Alzaidy, R. M. Hafez
doaj   +1 more source

A parallel in time/spectral collocation combined with finite difference method for the time fractional differential equations

Journal of Algorithms & Computational Technology, 2021
In this article, we consider the numerical solution for the time fractional differential equations (TFDEs). We propose a parallel in time method, combined with a spectral collocation scheme and the finite difference scheme for the TFDEs.
Xianjuan Li, Yanhui Su
doaj   +1 more source

Tensor Network Space-Time Spectral Collocation Method for Time-Dependent Convection-Diffusion-Reaction Equations

Mathematics
Emerging tensor network techniques for solutions of partial differential equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultra-fast numerical solutions of high-dimensional problems ...
Dibyendu Adak, Duc P. Truong, Gianmarco Manzini, Kim Ø. Rasmussen, Boian S. Alexandrov   +4 more
doaj   +1 more source

Numerical analysis of stochastic SIR model by Legendre spectral collocation method

Advances in Mechanical Engineering, 2019
This article represents Legendre spectral collocation method based on Legendre polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model.
Sami Ullah Khan, Ishtiaq Ali
doaj   +1 more source

An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry

Abstract and Applied Analysis, 2014
We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. In order to numerically solve this type of nonlinear boundary value problems, we construct a kind of spectral ...
A. H. Bhrawy, A. S. Alofi, R. A. Van Gorder   +2 more
doaj   +1 more source

Optimal Dynamics Control in Trajectory Tracking of Industrial Robots Based on Adaptive Gaussian Pseudo-Spectral Algorithm

Algorithms
A pseudo-spectral control algorithm based on adaptive Gauss collocation point reconstruction is proposed to efficiently solve the optimal dynamics control problem of industrial robots.
Jing Zhang, Xiaokai Zhu, Te Chen, Guowei Dou   +3 more
doaj   +1 more source

Applications of Legendre spectral collocation method for solving system of time delay differential equations

Advances in Mechanical Engineering, 2020
The numerical techniques are regarded as the backbone of modern research. In literature, the exact solution of time delay differential models are hardly achievable or impossible. Therefore, numerical techniques are the only way to find their solution. In
Sami Ullah Khan, Ishtiaq Ali
doaj   +1 more source

Matrix-based Chebyshev collocation technique for nonlinear system of differential Riccati equations

Alexandria Engineering Journal
This paper presents a novel and efficient spectral collocation method for solving systems of differential Riccati equations (SDREs) with variable coefficients.
Ibtisam Aldawish, Lakhlifa Sadek, Zakia Hammouch, Ahmed Shafee, Ioan-Lucian Popa   +4 more
doaj   +1 more source