Abstract A Jacobi–Gauss–Lobatto collocation (J-GL-C) method, used in combination with
the implicit Runge–Kutta method of fourth order, is proposed as a numerical algorithm for the …

This contribution focuses on the nondestructive evaluation of the thickness of metallic plates,
by means of eddy-current testing. Specifically, we present a method for reducing/optimizing …

In this paper, a new method based on hybridization of Lucas and Fibonacci polynomials is
developed for approximate solutions of 1D and 2D nonlinear generalized Benjamin–Bona …

This study will develop a new high-order polynomial surrogate model (HOPSM) to overcome
routines of expensive computer simulations in engineering. The proposed HOPSM is …

A numerical technique for solving nonlinear ordinary differential equations on a semi-infinite
interval is presented. We solve the Thomas–Fermi equation by the Sinc-Collocation method …

Two new analytical formulae expressing explicitly the derivatives of Chebyshev polynomials
of the third and fourth kinds of any degree and of any order in terms of Chebyshev …

There are several classifications of linear Integral Equations. Some of them include; Voltera
Integral Equations, Fredholm Linear Integral Equations, Fredholm-Voltera Integrodifferential …

Two new analytical closed formulae expressing explicitly third and fourth kinds Chebyshev
coefficients of an expansion for an infinitely differentiable function that has been integrated …

This study provides a numerical scheme for solving a class of fractional partial differential
equations with the variable order, referred to as fractional mobile-immobile advection …

In this research article, a new product formula of Jacobi polynomials of certain parameters is
established. This formula is expressed in terms of a terminating hypergeometric function of …