On Starlike Functions of Negative Order Defined by q-Fractional Derivative

S Riaz, UA Nisar, Q Xin, SN Malik, A Raheem - Fractal and Fractional, 2022 - mdpi.com
In this paper, two new classes of q-starlike functions in an open unit disc are defined and
studied by using the q-fractional derivative. The class S q*˜(α), α∈(− 3, 1], q∈(0, 1) …

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 …

On the Nonstandard Maximum Principle and Its Application for Construction of Monotone Finite-Difference Schemes for Multidimensional Quasilinear Parabolic …

LM Hieu, NHN Xuan, DNH Thanh - Ukrainian Mathematical Journal, 2024 - Springer
We consider the difference maximum principle with input data of variable sign and its
application to the investigation of the monotonicity and convergence of finite-difference …

On Convergence of Higher Order Differential-Difference Schemes for Telegraph Equation

LM Hieu, NHN Xuan - Vestnik St. Petersburg University, Mathematics, 2024 - Springer
The purpose of this article is to introduce an approximation method for solving the Dirichlet
initial boundary value problem (IBVP) for the telegraph equation. The approach involves the …

A fuzzy random boundary value problem

HM Srivastava, R Chaharpashlou, R Saadati, C Li - Axioms, 2022 - mdpi.com
A system of generalized fuzzy random differential equations with boundary conditions is
investigated, which is a fuzzy version of a system of general random differential equations …

О сходимости дифференциально-разностных схем высшего порядка для телеграфного уравнения

ЛМ Хьеу, СНХ Нгуен - Вестник Санкт …, 2024 - math-mech-astr-journal.spbu.ru
Аннотация Целью данной статьи является представление приближенного метода
решения начально-краевой задачи Дирихле для телеграфного уравнения. Подход …

On the nonstandard maximum principle and its application for construction of monotone finite-difference schemes for multidimensional quasilinear parabolic equations

NHN Xuan, DNH Thanh - Ukrains' kyi Matematychnyi Zhurnal, 2024 - umj.imath.kiev.ua
Keywords: Maximum principle, two-side estimates, monotone method, finite-difference
scheme, multidimensional quasilinear parabolic equation, convergence, weakly couple …

Second Order Monotone Finite-Difference Schemes on Non-Uniform Grids for Multi-Dimensional Convection-Diffusion Problem with a Boundary Condition of the Third …

LM Hieu, DNH Thanh, TT Tu - Lobachevskii Journal of Mathematics, 2021 - Springer
In this article, we present a study on constructing a second order local approximation
monotone difference schemes on spatial non-uniform grids for the parabolic equation of …

Method of moments with a choice of special basic functions for fourth-order partial differential equations

LM Hieu, NN Hien, DNH Thanh… - Journal of Physics …, 2021 - iopscience.iop.org
This paper presents an approximation method to solve the boundary value problem (BVP)
for partial differential equations (PDEs) of a kind of the fourth order with the idea of …