This paper analyzes a method for solving the third-and fifth-order differential equations with
constant coefficients using a Jacobi dual-Petrov–Galerkin method, which is more …

In this paper the Chebyshev--Legendre collocation method is applied to the generalized
Burgers equation. Optimal error estimate of the method is proved for the problem with the …

The pseudo‐spectral Legendre–Galerkin method (PS‐LGM) is applied to solve a nonlinear
partial integro‐differential equation arising in population dynamics. This equation is a …

Despite the difficult working conditions many nurses in Sub‐Saharan Africa experience
resulting in their migration or leaving the profession, there are nurses who thrive and stay …

In this paper, a new type of the discrete fractional Grönwall inequality is developed, which is
applied to analyze the stability and convergence of a Galerkin spectral method for a linear …

We present a high‐order spectral element method (SEM) using modal (or hierarchical) basis
for modeling of some nonlinear second‐order partial differential equations in two …

In this paper, we present some important approximation properties of Chebyshev
polynomials in the Legendre norm. We mainly discuss the Chebyshev interpolation operator …

A Legendre-tau-Galerkin method is developed for nonlinear evolution problems and its
multiple interval form is also considered. The Legendre tau method is applied in time and …

The Darcy's equation consists of the mass conservation equation and the Darcy's law that
involves the hydraulic potential (or called pressure) and the fluid velocity, which governs the …

In the paper, an operator splitting Legendre-tau spectral method is proposed to solve
Maxwell's equations with nonlinear conductivity in two dimensions. By the implicit–explicit …