A novel multi-term time-fractional mixed diffusion and diffusion-wave equation will be
considered in this work. Different from the general multi-term time-fractional mixed diffusion …

This paper presents a numerical method to solve accurately the fractional Black–Scholes
model of pricing evolution. A fully spectral collocation technique for the two independent …

In the current paper, for the time fractional diffusion equation with an exponential tempering,
we propose a numerical algorithm based on the Lagrange-quadratic spline interpolations …

In this paper, we provide a numerical solution for the nonlinear tempered fractional
integrodifferential equation in three dimensions. We use the trapezoidal convolution rule …

Deep learning has shown successful application in visual recognition and certain artificial
intelligence tasks. Deep learning is also considered as a powerful tool with high flexibility to …

This paper introduces a finite volume element method for solving the time-tempered
fractional advection–diffusion equation with weakly singular solution at initial time t= 0. An …

In this paper, the convergence and stability of Galerkin finite element method for a
hyperbolic partial differential equations with piecewise continuous arguments are …

In this paper, a θ-finite difference scheme based on cubic B-spline quasi-interpolation has
been derived for the solution of time fractional Cattaneo equation. The fractional derivative of …

In this paper, we present an intelligent combination of partition of unity (PU) and finite
element (FE) methods for valuing American option pricing problems governed by the Black …

We propose a non uniform web spline based finite element analysis for elliptic partial
differential equation with the gradient type nonlinearity in their principal coefficients like p …