Space–time Chebyshev spectral collocation method for nonlinear time‐fractional Burgers equations based on efficient basis functions

Y Huang, F Mohammadi Zadeh… - … Methods in the …, 2021 - Wiley Online Library
This article contributes to a balanced space–time spectral collocation method for solving
nonlinear time‐fractional Burgers equations with given initial‐boundary conditions. Most of …

Space–time spectral collocation method for solving Burgers equations with the convergence analysis

Y Huang, MHN Skandari, F Mohammadizadeh… - Symmetry, 2019 - mdpi.com
This article deals with a numerical approach based on the symmetric space-time Chebyshev
spectral collocation method for solving different types of Burgers equations with Dirichlet …

An efficient pseudo-spectral method for nonsmooth dynamical systems

M Ghaznavi, MHN Skandari - Iranian Journal of Science and Technology …, 2018 - Springer
In this paper, we present a new approach for solving nonsmooth dynamical systems. We first
convert the nonsmooth system to the smooth form, using Chebyshev interpolation. Then, we …

A new convergent pseudospectral method for delay differential equations

M Mahmoudi, M Ghovatmand… - Iranian journal of science …, 2020 - Springer
Delay differential equations have a wide range of applications in science and engineering.
When these equations are nonlinear, we cannot usually obtain an exact solution. Hence, we …

A numerical method for solving shortest path problems

MH Noori Skandari, M Ghaznavi - Calcolo, 2018 - Springer
Chebyshev pseudo-spectral method is one of the most efficient methods for solving
continuous-time optimization problems. In this paper, we utilize this method to solve the …

A novel technique for a class of singular boundary value problems

MH Noori Skandari, M Ghaznavi - Computational Methods for …, 2018 - cmde.tabrizu.ac.ir
In this paper, Lagrange interpolation in Chebyshev-Gauss-Lobatto nodes is used to develop
a procedure for finding discrete and continuous approximate solutions of a singular …