Herein, a pure shifted Jacobi–Galerkin (SJG) method is offered for handling linear two-
dimensional space-time diffusion and telegraph equations but by considering their …

In this research, a compact combination of Chebyshev polynomials is created and used as a
spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam. The …

‎ The main goal of this research work is to provide a numerical technique based on choosing
a set of basis functions for handling the third-order time-fractional Korteweg–De Vries …

This study presents a new efficient collocation approach to handle the nonlinear generalized
fractional Riccati equation. The linearization formula of the product of two shifted Chebyshev …

The aim of this paper is to use the second derivative of Chebyshev polynomials (SDCHPs)
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …

In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear
evolution equations system are studied by applying Banach's Fixed Point Theorem and …

Spectral collocation method, named linear barycentric rational interpolation collocation
method (LBRICM), for convection-diffusion (CD) equation with constant coefficient is …

In this paper, we presented the distributed order fractional optimal control of the Coronavirus
(2019-nCov) mathematical model. The distributed order fractional operator is defined in the …

This paper offers a numerical collocation scheme for solving the fractional nonlinear Bratu
differential equation. We obtain a system of nonlinear equations using our spectral …

In the present paper, we construct a set of multiscale orthonormal basis based on Legendre
polynomials. Using this orthonormal basis, a new algorithm is designed for solving the …