Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations

F Liu, Y Wang, S Li - International Journal of Computer …, 2018 - Taylor & Francis
The coupled viscous Burgers' equations have been an interesting and hot topic in
mathematics and physics for a long time, and they have been solved by many methods. In …

Propagation phenomena for partially degenerate nonlocal dispersal models in time and space periodic habitats

X Bao, WT Li - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
This paper is concerned with propagation phenomena of a general class of partially
degenerate nonlocal dispersal cooperative systems in time and space periodic habitats. We …

A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation

A Verma, R Jiwari, S Kumar - … Journal of Numerical Methods for Heat …, 2014 - emerald.com
Purpose–The purpose of this paper is to propose a numerical scheme based on forward
finite difference, quasi-linearisation process and polynomial differential quadrature method …

Numerical solution of the coupled viscous Burgers equations by Chebyshev–Legendre Pseudo-Spectral method

A Rashid, M Abbas, AIM Ismail, A Abd Majid - Applied Mathematics and …, 2014 - Elsevier
In this paper, we consider Chebyshev–Legendre Pseudo-Spectral (CLPS) method for
solving coupled viscous Burgers (VB) equations. A leapfrog scheme is used in time …

An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics

MA Mehrpouya - Mathematical Methods in the Applied …, 2016 - Wiley Online Library
In the manuscript, a pseudospectral method is developed for approximate and efficient
solution of nonlinear singular Lane–Emden–Fowler initial and boundary value problems …

A numerical method based on a bilinear pseudo-spectral method to solve the convection-diffusion optimal control problems

F Samadi, A Heydari, S Effati - International Journal of Computer …, 2021 - Taylor & Francis
In this paper, we consider the bilinear pseudo-spectral method for solving convection-
diffusion optimal control problems (OCPs). First, we convert the optimal control problem to a …

Mollification of Fourier spectral methods with polynomial kernels

M Puthukkudi… - Mathematical Methods in …, 2024 - Wiley Online Library
Many attempts have been made in the past to regain the spectral accuracy of the spectral
methods, which is lost drastically due to the presence of discontinuity. In this article, an …

An efficient solution of hamiltonian boundary value problems by combined gauss pseudospectral method with differential continuation approach

MA Mehrpouya, M Shamsi, V Azhmyakov - Journal of the Franklin Institute, 2014 - Elsevier
Our paper deals with an effective application of the pseudospectral method to solution of
Hamiltonian boundary value problems in optimal control theory. The developed numerical …

A robust pseudo-spectral method for a class of optimal control problems

V Azhmyakov, M Shamsi, LAG Trujillo, JHC Rojas - IFAC-PapersOnLine, 2015 - Elsevier
Our paper presents a numerically robust control design algorithm for a class of Optimal
Control Problem (OCPs). The computational approach we develop constitutes an extension …

Homing Trajectory Planning and Control for the Accurate Aerial Delivery of Parafoil System

M Yao, Y Jin, M Zhao - … of the 2018 International Conference on …, 2018 - dl.acm.org
Parafoil system is widely used in the fields of military, aviation and aerospace to realize
military supplies accurate aerial delivery and the spacecraft recycle mission, because of its …