The unique fourth-order differential equation satisfied by the generalized co-recursive of all classical orthogonal polynomials is given for any (but fixed) level of ...

In this paper, a class of Lotka-Volterra discrete diffusion systems is considered. A mechanical procedure for checking the positive definiteness of polynomials from the ...

In this paper, center conditions and bifurcation of limit cycles from the equator for a class of polynomial system of degree seven are studied. The method is based on ...

The problem that arises during the movement of the shoreline in a sedimentary ocean basin is a moving-boundary problem with variable latent heat. A numerical method is ...

In this article, we present a numerical method to numerically solve a time-fractional convection–diffusion equation. Our method is based on the operational matrices of ...

Computer algebra systems (CAS's) such as DERIVE, MACSYMA, MAPLE, muMATH and Mathematica can be used as powerful assistants for performing symbol manipulations in algebra and ...

The full-rank LDL∗ decomposition of a polynomial Hermitian matrix is examined. Explicit formulae are given evaluating the coefficients of matrices lij and djj. Also, a ...

We use the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions ...

This paper studies center conditions and bifurcation of limit cycles from the equator for a class of polynomial differential system of order seven. By converting real planar ...

The theory of Gröbner bases is the basis of Mathematica's Solve and related functions. This article gives an introduction to the theory via three applications: solving ...