This work deals with a higher order numerical approximation for analyzing a class of multi-
term time fractional partial integro-differential equations involving Volterra integral operators …

Extrapolation cascadic multigrid (EXCMG) method with the conjugate gradient smoother is
shown to be an efficient solver for large sparse symmetric positive definite systems resulting …

In this paper, we propose the neural finite element method (NFEM) with the two-part
structure to obtain a highly accurate result for generalized Black-Scholes-Merton equation …

A comb structure consists of a one-dimensional backbone with lateral branches. These
structures have widespread application in medicine and biology. Such a structure promotes …

Abstract The fractional-order Bagley–Torvik equation has many applications in the field of
life science and engineering. In this paper, we develop a new scheme based on the existing …

In magnetic resonance imaging of the human brain, the diffusion process of tissue water is
considered in the complex tissue environment of cells, membranes and connective tissue …

We study regularity and the spectral method for two-sided fractional diffusion equations with
a reaction term. We show that the regularity of the solution in weighted Sobolev spaces can …

In this paper, we proposed and analyzed the error estimate of an implicit finite difference
method with Mamadu-Njoseh as basis functions for time fractional telegraph equation. To …

In this article a two-sided variable coefficient fractional diffusion equation (FDE) is
investigated, where the variable coefficient occurs outside of the fractional integral operator …

In this paper, we develop and analyze a finite element method (FEM) for a one-dimensional
two-sided time-dependent space-fractional diffusion equation (sFDE) with variable …