In this paper, Bernstein polynomials method is proposed for the numerical solution of a class
of variable order fractional linear cable equation. In this paper, we adopted Bernstein …

In this research first we explicitly obtain the relation between the coefficients of the Taylor
series and Jacobi polynomial expansions. Then we present a new method for computing …

In this study, using the properties of third and fourth kinds of Chebyshev polynomials, we
explicitly determine the best uniform polynomial approximation out of Pn to classes of …

Approximating a smooth function from its values f (xi) at a set of evenly spaced points xi
through P-point polynomial interpolation often fails because of divergence near the …

Pseudospectral approach based on rational Legendre and rational Chebyshev functions is
developed to solve the nonlinear integro-differential Volterra's population model. The model …

A fundamental problem in numerical analysis and approximation theory is approximating
smooth functions by polynomials. A much harder version under recent consideration is to …

This paper reports a new fully collocation algorithm for the numerical solution of hyperbolic
partial differential equations of second order in a semi-infinite domain, using Jacobi rational …

Chebyshev polynomials and best approximation of some classes of functions Page 1 J. Numer.
Math. 2015; 23 (1):41–50 Mohammad R. Eslahchi*, Mehdi Dehghan, and Sanaz Amani …

In this paper, we introduce numerical schemes and their analysis based on weak Galerkin
finite element framework for solving 2‐D reaction–diffusion systems. Weak Galerkin finite …

The main premise of this article is to develop a maximum entropy estimation of an unknown
distribution using order statistics. The exact solution using constraints on the order statistic …