The generalized Cattaneo model describes the heat conduction system in the perspective of
time-nonlocality. This paper proposes an accurate and robust meshless technique for …

This paper presents a meshless method based on the finite difference scheme derived from
the local radial basis function (RBF-FD). The algorithm is used for finding the approximate …

This work investigates the generalised time-fractional Cattaneo model. The homotopy
perturbation transform technique is used to get the numerical solution of this model. The …

This paper studies a localized meshless algorithm for calculating the solution of a nonlinear
biological population model (NBPM). This model describes the dynamics in the biological …

This paper focuses on the numerical solutions of a six-compartment fractional model with
Caputo derivative. In this model, we obtain non-negative and bounded solutions, equilibrium …

In this article, a time‐fractional nonlinear moving boundary problem is considered to express
the mathematical model of diffusion of a solvent into a glassy polymeric device. A numerical …

This paper studies a parabolic-type system of time-dependent partial differential equations
coupled with Robin boundary conditions to model the solvent penetration and subsequently …

This paper considers a drug delivery polymeric device in contact with a solvent as a
nonlinear moving boundary problem. In this problem, the drug concentration and unknown …

In this paper, an efficient numerical method is proposed to solve the Caputo-Riesz fractional
diffusion equation with fractional Robin boundary conditions. We approximate the Riesz …