Abstract Fractional Black–Scholes equation is a constructive financial equation. The model
is used to determine the value of the option without a transaction cost. The analytical …

In this article, a numerical technique based on polynomials is proposed for the solution of
one and two-dimensional time-fractional Burgers equation. First, the given problem is …

We propose and analyze a local projection stabilization virtual element method for time-
fractional Burgers equation on polygonal meshes, whose solutions display a weak …

In this paper we enhance the well-known fifth order WENO shock-capturing scheme by
using deep learning techniques. This fine-tuning of an existing algorithm is implemented by …

This paper is concerned with design and analysis of a high order numerical approach based
on a uniform mesh to approximate the solution of time-fractional fourth order partial …

This paper is concerned with the numerical solution of timefractional partial differential
equations (PDEs) via local meshless differential quadrature collocation method (LMM) using …

Fractional derivatives are considered significant mathematical tools to design the fractional-
order models of real phenomena. In this investigation, we are going to design and compare …

Numerical instabilities arising when simulating transport phenomena dominated by
convection processes are among the most challenging situations in computational science …

In present paper, we propose tailored finite point method (TFPM) based on exponential
basis for solving two-dimensional time fractional Burgers equation. We use the L1 and L1-2 …

In this work, an innovative computational scheme is developed to compute stable solutions
of time-fractional coupled viscous Burger's equation in multi-dimensions. To discretize the …