Nonlocal operators are used in a wide variety of models and applications due to many
natural phenomena being driven by nonlocal dynamics. Nonlocal operators are integral …

The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading,
and nonlocality. The integro‐differential formulation of peridynamics poses challenges to …

We study the preconditioned iterative methods for the linear systems arising from the
numerical solution of the multi‐dimensional space fractional diffusion equations. A sine …

We investigate an inverse problem with quasi-boundary value regularization for
reconstructing a source term of time-space fractional diffusion equations from the final …

Peridynamics is a nonlocal continuum theory that uses integral equations with no
assumption of differentiability of displacement fields. One of the advantages of implicit type …

Algebraic multigrid (AMG) is one of the most efficient iterative methods for solving large
structured systems of equations. However, how to build/check restriction and prolongation …

The paper aims to establish a fully discrete finite element (FE) scheme and provide cost-
effective solutions for one-dimensional time-space Caputo-Riesz fractional diffusion …

In this study, we construct a space‐time finite element (FE) scheme and furnish cost‐efficient
approximations for one‐dimensional multi‐term time fractional advection diffusion equations …

In this paper, we study the Crank–Nicolson method for temporal dimension and the
piecewise quadratic polynomial collocation method for spatial dimensions of time …

Nonlocal problems have been used to model very different applied scientific phenomena
which involve the fractional Laplacian when one looks at the Lévy processes and stochastic …