Abstract: Continuing the work of, this paper considers mainly the approximation to the n-th derivatives of functions, and develops an effective algorithm with its ...

We consider a simplified model of a two-phase flow through a heterogeneous porous medium. Focusing on the capillary forces motion, a nonlinear degenerate parabolic problem is approximated in a domain ...

Abstract: In this paper, we propose a discretization for the compressible Stokes problem with an equation of state of the form p=φ(ρ) (where p stands for the pressure and ρ for the density, and φ is a ...

It is now possible to improve the precision of well survey calculations by order of magnitude with numerical approximation. Although the most precise method of simulating and calculating a wellbore ...

We propose a projection method to approximate the spectrum of a dissipative system which is a bounded perturbation of a skew-adjoint operator. We show that the associated discrete spectra approximate ...

In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming ...

ABSTRACT: Due to the ability to model various complex phenomena where classical calculus failed, fractional calculus is getting enormous attention recently. There are several approaches available for ...

Two finite-difference approximation methods are outlined here. The first approximation technique is linked to the Grünwald-Letnikov definition. It consists in approximating the fractional derivative ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...