Monotone finite-difference schemes with second order approximation based on regularization approach for the dirichlet boundary problem of the gamma equation

TTH Hanh, DNH Thanh - IEEE Access, 2020 - ieeexplore.ieee.org
We investigate the initial boundary value problem for the Gamma equation transformed from
the nonlinear Black-Scholes equation for pricing option to a quasilinear parabolic equation …

[HTML][HTML] Численное моделирование гидродинамических аварий: размыв дамб и затопление территорий

СС Храпов - Вестник Санкт-Петербургского университета …, 2023 - cyberleninka.ru
Построена математическая модель совместной динамики поверхностных вод и
влекомых наносов, в которой учитываются нелинейная динамика жидкости и …

Numerical Modeling of Hydrodynamic Accidents: Erosion of Dams and Flooding of Territories

SS Khrapov - Vestnik St. Petersburg University, Mathematics, 2023 - Springer
A mathematical and numerical model of the joint dynamics of surface water and traction
sediment is built, which takes into account the nonlinear dynamics of the fluid and bottom …

Mathematical modeling and numerical analyses of transport phenomena with variable cross-diffusion and nonlinear radiation

C Nwaigwe - Computational Thermal Sciences: An …, 2021 - dl.begellhouse.com
This study proposes a mathematical model and the numerical scheme, with rigorous stability
and convergence analyses, for a channel flow problem incorporating a nonstandard …

A third (fourth) order stable computational scheme for 2D Burgers type nonlinear parabolic partial differential equations on a non-uniformly spaced grid network

N Jha, M Wagley - Authorea Preprints, 2024 - techrxiv.org
An implicit compact scheme is proposed to approximate the solution of parabolic partial
differential equations (PDEs) of Burger's type in two-dimensions. These nonlinear PDEs are …

[PDF][PDF] A finite-difference scheme for initial boundary value prob-lem of the Gamma equation in the pricing of financial derivatives

TTH Le Minh Hieua, DNHT Hanha - researchgate.net
In the article, we consider the initial boundary value problem for the Gamma equation, which
can be derived by transforming the nonlinear Black-Scholes equation for option price into a …