In this paper, a new general form for the non-polynomial cubic spline function is introduced.
This form enables us to generate about ten different formulas of the proposed spline …

In this paper, an efficient method is presented for solving two dimensional Fredholm and
Volterra integral equations of the second kind. Chebyshev polynomials are applied to …

In this paper, the boundary layer flow and heat transfer of unsteady flow over a porous
accelerating stretching surface in the presence of the velocity slip and temperature jump …

In this study, we present a modified configuration, including an exact formulation, for the
operational matrix form of the integration, differentiation, and product operators applied in …

A modified approach to obtain approximate numerical solutions of Fredholm integral
equations of the second kind is presented. The error bound is explained by the aid of …

In this work, the nonlinear boundary value problem in electrohydrodynamics flow of a fluid in
an ion-drag configuration in a circular cylindrical conduit is studied numerically. An effective …

In this study, an effective collocation method using new weighted orthogonal basis functions
on the half-line, namely the exponential Bernstein functions, is proposed for simulating the …

In this investigation, a semi-numerical method based on Bernstein polynomials for solving
off-centered stagnation flow towards a rotating disc is introduced. This method expands the …

This note deals with a new computational method for solving a class of singular boundary
value problems. The method is based upon Bernstein Polynomials. The properties of …

This paper addresses the Bayesian calibration of dynamic models with parametric and
structural uncertainties, in particular where the uncertain parameters are unknown/poorly …