Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing

P Roul - Mathematical Methods in the Applied Sciences, 2022 - search.ebscohost.com
This work deals with the construction and analysis of a high‐order computational scheme for
a time‐fractional Black‐Scholes model that governs the European option pricing. The time …

Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain

D Mostafa, MA Zaky, RM Hafez… - … Methods in the …, 2023 - Wiley Online Library
We present a class of orthogonal functions on infinite domain based on Jacobi polynomials.
These functions are generated by applying a tanh transformation to Jacobi polynomials. We …

Structure Preserving Numerical Analysis of Reaction‐Diffusion Models

N Ahmed, MA Rehman, W Adel, F Jarad… - Journal of Function …, 2022 - Wiley Online Library
In this paper, we examine two structure preserving numerical finite difference methods for
solving the various reaction‐diffusion models in one dimension, appearing in chemistry and …

Galerkin approximations for an initial boundary problem of transient flow in fractured porous media

DR Baigereyev, AS Berdyshev… - Lobachevskii Journal of …, 2022 - Springer
In this paper, theoretical estimates for the solution of an approximation problem for a fourth-
order partial differential equation with fractional derivatives in the sense of Caputo are …

A Study of ψ-Hilfer Fractional Boundary Value Problem via Nonlinear Integral Conditions Describing Navier Model

S Pleumpreedaporn, W Sudsutad, C Thaiprayoon… - Mathematics, 2021 - mdpi.com
This paper investigates existence, uniqueness, and Ulam's stability results for a nonlinear
implicit ψ-Hilfer FBVP describing Navier model with NIBC s. By Banach's fixed point …

[PDF][PDF] Study of ψ-Hilfer Fractional Boundary Value Problem via Nonlinear Integral Conditions Describing Navier Model. Mathematics 2021, 9, 3292

S Pleumpreedaporn, W Sudsutad, C Thaiprayoon… - 2021 - researchgate.net
This paper investigates existence, uniqueness, and Ulam's stability results for a nonlinear
implicit ψ-Hilfer FBVP describing Navier model with NIBCs. By Banach's fixed point theorem …