Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: Aug. 12, 2024
Complex
and
nonlinear
fractal
equations
are
ubiquitous
in
natural
phenomena.
This
research
employs
the
Euler−Lagrange
semi-inverse
methods
to
derive
space–time
Fornberg–Whitham
equation.
derivation
provides
an
in-depth
comprehension
of
traveling
wave
propagation.
Consequently,
equation
is
pivotal
elucidating
fundamental
phenomena
across
applied
sciences.
A
novel
analytical
technique,
generalized
Kudryashov
method,
presented
address
method
combines
fractional
complex
approach
with
modified
enhance
its
effectiveness.
We
solution
for
elucidate
how
various
parameters
influence
propagation
new
solutions.
Furthermore,
Figures
1
through
6
analyze
impact
$$\alpha$$
,
$$\upbeta
,$$
$$b_{1}$$
$$k$$
on
these
Our
results
show
that
solitary
solutions
remain
intact
both
case
2,
regardless
time
orders
$${
}\left(
\upbeta
\right)$$
.
At
end,
manuscript
discusses
implications
findings
understanding
phenomena,
paving
way
further
exploration
applications
studies.
Scientific Reports,
Journal Year:
2025,
Volume and Issue:
15(1)
Published: Jan. 13, 2025
During
the
Covid-19
pandemic,
widespread
use
of
social
media
platforms
has
facilitated
dissemination
information,
fake
news,
and
propaganda,
serving
as
a
vital
source
self-reported
symptoms
related
to
Covid-19.
Existing
graph-based
models,
such
Graph
Neural
Networks
(GNNs),
have
achieved
notable
success
in
Natural
Language
Processing
(NLP).
However,
utilizing
GNN-based
models
for
propaganda
detection
remains
challenging
because
challenges
mining
distinct
word
interactions
storing
nonconsecutive
broad
contextual
data.
In
this
study,
we
propose
Hierarchical
Graph-based
Integration
Network
(H-GIN)
designed
detecting
text
within
defined
domain
using
multilabel
classification.
H-GIN
is
extracted
build
bi-layer
graph
inter-intra-channel,
Residual-driven
Enhancement
(RDEP)
Attention-driven
Multichannel
feature
Fusing
(ADMF)
with
suitable
labels
at
two
classification
levels.
First,
RDEP
procedures
facilitate
information
between
distant
nodes.
Second,
by
employing
these
guidelines,
ADMF
standardizes
Tri-Channels
3-S
(sequence,
semantic,
syntactic)
layer,
enabling
effective
through
unrelated
propagation
news
representations
into
classifier
from
existing
ProText,
Qprop,
PTC
datasets,
thereby
ensuring
its
availability
public.
The
model
demonstrated
exceptional
performance,
achieving
an
impressive
82%
accuracy
surpassing
current
leading
models.
Notably,
model's
capacity
identify
previously
unseen
examples
across
diverse
openness
scenarios
ProText
dataset
was
particularly
significant.
Computer Methods in Biomechanics & Biomedical Engineering,
Journal Year:
2025,
Volume and Issue:
unknown, P. 1 - 17
Published: Feb. 28, 2025
In
the
current
work,
deterministic
hepatitis
B
virus
epidemic
(DHBVE)
model
and
stochastic
(SHBVE)
are
two
nonlinear
mathematical
models
that
serve
as
framework
to
illustrate
predict
dynamic
behavior
of
B.
We
employ
an
approximation
based
on
outcomes
solve
numerically.
Euler-Maruyama
method
is
employed
investigate
SHBVE
model,
whereas
explicit
Runge-Kutta
exploited
calculate
solution
DHBVE
model.
Finally,
comparisons
between
models'
frameworks
presented.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: Aug. 24, 2024
This
article
demonstrates
a
mathematical
model
and
theoretical
analysis
of
the
Micropolar
fluid
in
reverse
roll
coating
process.
It
is
important
because
micropolar
fluids
account
for
microstructure
microrotation
particles
within
fluid.
These
characteristics
are
significant
accurately
describing
behavior
complex
such
as
polymer
solutions,
biological
fluids,
colloidal
suspensions.
First,
we
modeled
flow
equations
using
basic
laws
dynamics.
The
made
modified
low
Reynolds
number
theory.
simplified
solved
analytically.
exact
expression
velocity
pressure
gradient
obtained,
while
calculated
numerically
Simpson
Rule.
Graphical
depictions
carried
out
to
comprehend
impact
newly
emerged
physical
constraints.
influence
parameters
on
velocity,
elaborated
with
help
different
graphs.
