In this paper, the numerical approximation of the generalized Burgers–Huxley equation
(GBHE) with weakly singular kernels using nonconforming methods will be presented …

In this study, we explore the theoretical and numerical aspects of the generalized Burgers-
Huxley equation (a non-linear advection-diffusion-reaction problem) incorporating weakly …

This paper deals with an initial-boundary value problem for the Navier–Stokes–Voigt
equations describing unsteady flows of an incompressible non-Newtonian fluid. We give the …

In this work, we consider the two-dimensional viscoelastic fluid flow equations, arising from
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …

In this work, we establish the unique global solvability of the stochastic two dimensional
viscoelastic fluid flow equations, arising from the Oldroyd model for the non-Newtonian fluid …

In this paper, we consider an inverse problem for three dimensional viscoelastic fluid flow
equations, which arises from the motion of Kelvin–Voigt fluids in bounded domains. This …

The article investigates the inverse problem for a complete, inhomogeneous, higher-order
Sobolev type equation, together with the Cauchy and overdetermination conditions. This …

We consider a diffuse interface model for an incompressible binary fluid flow. The model
consists of the Navier–Stokes–Voigt equations coupled with the mass-conserving Allen …

In this paper, we consider a non-autonomous nonlinear evolution equation in separable,
reflexive Banach spaces. First, we consider a linear problem and establish the approximate …

The paper is devoted to the proof of a weak solution existence for the Kelvin–Voigt fluid
motion model of an arbitrary finite order. First, for the model under consideration, using the …