This paper presents a comprehensive review of finite element methods (FEMs) applied to a
diverse range of reaction-diffusion equations (RDEs). Beginning with a historical overview of …

In this paper, a high-order compact scheme is proposed for solving two-dimensional
nonlinear time-fractional fourth-order reaction-diffusion equations. The fractional derivative …

Meshless methods are potential substitutes to the conventional finite difference and finite
element methods (FDM and FEM) and have the advantage of alleviating the meshing and …

In this study, a meshless thermal modeling with meshless local moving kriging interpolation
method is presented for analysis of functionally graded porous (FGP) materials under the …

Nonlocal problems involving fourth-order terms pose several difficulties such as numerical
discretization and its related convergences analysis. In this paper, the well-posedness of the …

This paper delves into the numerical analysis of the extended Fisher-Kolmogorov (EFK)
equation within open bounded convex domains R⊂ R d, where d≤ 3. Two distinct finite …

In this paper, for generalized two-dimensional delay space-fractional Fisher equations with
mixed boundary conditions, we present the stability and convergence computed by a novel …

As one of the most important tasks in image processing, texture analysis is related to a class
of mathematical models that characterize the spatial variations of an image. In this paper, in …