The major finding of this paper is studying the stability of a double diffusive convection using
the so-called local thermal non-equilibrium (LTNE) effects. A new combined model that we …

Fractional calculus, which deals with the concept of fractional derivatives and integrals, has
become an important area of research, due to its ability to capture memory effects and non …

In this study, we construct new numerical methods for solving the initial value problem (IVP)
in ordinary differential equations based on a symmetrical quadrature integration formula …

The methods that use memory using accelerating parameters for computing multiple roots
are almost non-existent in the literature. Furthermore, the only paper available in this …

This study focuses on solving the geometric nonlinear dynamic equations of structures using
the multi-point iterative methods within the optimal three-step composite time integration …

This paper studies a class of hybrid methods that implement multi-point iterative procedures
as the nonlinear solver within optimized composite implicit methods. These multi-point …

This current work is presented to deal with the model of double diffusive convection in
porous material with variable viscosity, such that the equations for convective fluid motion in …

The paper presents the theory of the space-time Petrov-discontinuous Galerkin finite
element (PDGFE) method for the discretization of the nonstationary linear convection …

In this work a hybrid scheme is proposed for the numerical study of various evolutionary
partial differential equations (EPDEs). In proposed strategy, temporal derivatives are …

This research aims to propose a new family of one-parameter multi-step iterative methods
that combine the homotopy perturbation method with a quadrature formula for solving …