In this paper, the numerical solution of time-fractional convection diffusion equations (TF-
CDEs) is considered as a generalization of classical ones, nonexponential relaxation …

Compressive-shear fracture is commonly observed in rock-like materials. However, this
fracture type cannot be captured by current phase field models (PFMs), which have been …

Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …

This work is considered as the first comprehensive review, that covers all types of meshfree
method including the traditional or developed meshless techniques that have been …

We consider the initial/boundary value problem for a diffusion equation involving multiple
time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space …

This study presents a parallel meshless solver for transient heat conduction analysis of
slender functionally graded materials (FGMs) with exponential variations. In the present …

The inherent heterogeneities of many geophysical systems often gives rise to fast and slow
pathways to water and chemical movement. One approach to model solute transport through …

In this study a new framework for solving three-dimensional (3D) time fractional diffusion
equation with variable-order derivatives is presented. Firstly, a θ-weighted finite difference …

A new phenomenological hysteretic model for reinforcing bars with and without corrosion
damage is presented. The model simulates buckling of reinforcement, deterioration in post …

Laplace transform is a powerful tool for solving differential and integrodifferential equations
in engineering sciences. The use of Laplace transform for the solution of differential or …