Thu Dau Mot University Journal of Science


Natural Science

Understanding the importance of ISBN codes and creating a 13-Digit ISBN check digit

Understanding the importance of ISBN codes and creating a 13-Digit ISBN check digit

By Đặng Thị Diễm, Lưu Thị Hiệp
This article provides a comprehensive review of ISBN codes, shedding light on their significance and outlining the process of generating a 13-digit ISBN check digit. ISBN codes (International Standard Book Number) play a crucial role in identifying and cataloging books, serving as a unique identifier for each publication.
Research for Oil-Absorbing carpets using hair materials

Research for Oil-Absorbing carpets using hair materials

By Nguyen Thi Mai Thao, Bui Pham Phuong Thanh, Tran Thi Khanh Hoa, Nguyen Thi Xuan Hanh
The issue of marine pollution in general, as well as pollution brought on by oil spills into the sea, in rivers and lakes, or wastewater from factories, businesses, mechanical repair shops, gas stations, universities, and auto repair shops, is one that the world is currently facing, particularly since when it ...
High-order iterative scheme for Kirchhoff-type wave equation with the source containing three unknown values

High-order iterative scheme for Kirchhoff-type wave equation with the source containing three unknown values

By Le Thi Mai Thanh, Pham Nguyen Nhat Khanh
In this paper, a high-order iterative scheme is established in order to get a convergent
sequence at a rate of order N, (N ≥ 2) to a local unique weak solution of a nonlinear
Kirchhoff-type wave equation associated with Robin conditions.
A fractional model of enzymatic competitive substrate inhibition with Ping-Pong mechanism

A fractional model of enzymatic competitive substrate inhibition with Ping-Pong mechanism

By Nguyen Tuan Dat, Mai Quang Vinh
Enzymes are biodegradable catalysts naturally present in living organisms. Enzymes
can accelerate biochemical reactions by reducing the activation energy, and they are
not consumed during reaction processes. Numerous applications of enzymes have been
developed in biotechnology, industry, medicine, pharmaceuticals, food processing, biofuels,
and so on. In this study, we develop a mathematical model describing ...
Identifying the source for Fractional diffusion equations with Random Gaussian white noise

Identifying the source for Fractional diffusion equations with Random Gaussian white noise

By Ngo Ngoc Hung, Tran Thanh Binh, Nguyen Duc Phuong
In this work, we study the problem of finding the source function of the inhomogeneous
diffusion equations with conformable derivative c∂α
t u−Δu = f(x), 0 < α < 1, associate
with random noisy input data. This problem is ill-posed in the sense of Hadamard. In
order to regulate the instablity of the solution, ...
Inverse source problem for Sobolev equation with observed data in Lb spaces

Inverse source problem for Sobolev equation with observed data in Lb spaces

By Le Dinh Long, Danh Hua Quoc Nam, Vo Ngoc Minh, Bui Dai Nghia
In this paper, we are interested in the problem of determining the source function forthe
Sobolev equation with fractional Laplacian. This problem is non-well-posed. We show theerror
estimate between the exact solution and the regularized solution with the observed data in Lb
spaces.
Some applications of logarithms in real life

Some applications of logarithms in real life

By Nguyen Thi Khanh Hoa
In this paper, we restate some applications of logarithms in Richter scale, pH scale and
sound intensity level (Decibel scale).
Asymptotic expansion associated with the Kirchhoff-Carrier- Love equation

Asymptotic expansion associated with the Kirchhoff-Carrier- Love equation

By Vo Thi Tuyet Mai, Le Huu Ky Son, Tran Thi Kim Thoa
In this paper, we consider the Dirichlet boundary problem for a nonlinear wave equation
of Kirchhoff-Carrier-Love type as follow


utt − B
?
∥u(t)∥2 , ∥ux(t)∥2
(uxx + uxxtt)
= f(x, t, u, ux, ut, uxt) +
Xp
i=1
εifi(x, t, u, ux, ut, uxt)
for 0 < x < 1, 0 < t < T,
u(0, t) = u(1, t) ...
On the Robin-Dirchlet problem for a nonlinear wave equation with the term 1 n Xn i=1 u2(i−1 n , t)

On the Robin-Dirchlet problem for a nonlinear wave equation with the term 1 n Xn i=1 u2(i−1 n , t)

By Nguyen Vu Dzung, Tran Trinh Manh Dung
In this paper, we study the Robin-Dirchlet problem (Pn) for a wave equation with the
term
1
n
Xn
i=1
u2( i−1
n , t), n ∈ N. First, for each n ∈ N, under suitable conditions, we prove
the local existence and uniqueness of the weak solution un of (Pn). Next, we prove that
the sequence of solutions ...
High-order iterative scheme to the Robin problem for a nonlinear wave equation with viscoelastic term

High-order iterative scheme to the Robin problem for a nonlinear wave equation with viscoelastic term

By Doan Thi Nhu Quynh, Ho Thai Lyen, Huynh Ai Trieu, Nguyen Thanh Sang
The report deals with the Robin problem for a nonlinear wave equation with viscoelastic
term. Under some suitable conditions, we establish a high-order iterative scheme and
then prove that the scheme converges to the weak solution of the original problem along
with the error estimate. This result extends the result in [9].
The Dirichlet problem for a wave equation of Kirch-hoff- Carrier type with a nonlinear viscoelastic term

The Dirichlet problem for a wave equation of Kirch-hoff- Carrier type with a nonlinear viscoelastic term

By Ly Anh Duong, Le Huu Ky Son, Le Thi Phuong Ngoc
In this paper, we consider the Dirichlet problem for a wave equation of Kirchhoff-
Carrier type with a nonlinear viscoelastic term. It consists of two main parts. In Part
1, we establish existence and uniqueness of a weak solution by applying the Faedo-
Galerkin method and the standard arguments of density corresponding to ...
Global solutions to a time-fractional Cauchy problem

Global solutions to a time-fractional Cauchy problem

By Nguyen Dinh Huy, Nguyen Anh Tuan
In the current work, we study a Cauchy problem for a time-fractional pseudo-parabolic
equation with a globally Lipschitz source term. We prove the unique existence of a mild
solution to the problem, by the common Banach fixed point theorem. This solution is
then verified that exists globally in time by Gr¨onwall’s inequality. Compare ...