The study presents a meshless computational approach for simulating the three-
dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo …

A one-step new general mesh free scheme, which is based on radial basis functions, is
presented for a viscous wave equation with variable coefficients. By constructing a simple …

Fractional diffusion partial differential equation (PDE) models are used to describe
anomalous transport phenomena in fractal porous media, where traditional diffusion models …

The oscillating flow of the viscoelastic fluid‐saturated porous layer has been useful in many
areas, including the petroleum, chemical, and bioengineering industries. It is studied using …

It is acknowledged that dengue infection has a significant economic impact due to
healthcare costs and lost productivity. Research can provide insights into the economic …

In this article, first integral method (FIM) is used to acquire the analytical solutions of (3+ 1)-D
Wazwaz–Benjamin–Bona–Mahony and (2+ 1)-D cubic Klein–Gordon equation. New soliton …

To develop the sinusoidal container, three rectangular fins were utilized in current work to
boost the rate of freezing. The mixture of H 2 O and CuO nanomaterial were used as …

The fractional Cattaneo equation based on the Caputo–Fabrizio derivative is commonly
utilized in physical science due to its hyperbolic property and nonsingular property. In this …

In this research, we investigate the numerical solution of second member problems that
depend on the solution obtained through a multigrid method. Specifically, we focus on the …

Two numerical regimes for the one-and two-dimensional hyperbolic telegraph equations are
contrasted in this article. The first implemented regime is uniform algebraic trigonometric …