[HTML][HTML] Enhanced rational multi-derivative integrator for singular problems with application to advection equations
Singular problems with discontinuities or steep gradients challenge traditional numerical
integration methods. This study introduces the Rational Multi-Derivative Integrator (RMDI) …
integration methods. This study introduces the Rational Multi-Derivative Integrator (RMDI) …
Analyzing the dynamic patterns of COVID-19 through nonstandard finite difference scheme
This paper presents a novel approach to analyzing the dynamics of COVID-19 using
nonstandard finite difference (NSFD) schemes. Our model incorporates both asymptomatic …
nonstandard finite difference (NSFD) schemes. Our model incorporates both asymptomatic …
Exploring local and global stability of COVID-19 through numerical schemes
Respiratory sensitivity and pneumonia are possible outcomes of the coronavirus (COVID-
19). Surface characteristics like temperature and sunshine affect how long the virus survives …
19). Surface characteristics like temperature and sunshine affect how long the virus survives …
[HTML][HTML] Computational framework for thermal transportation in radiative bio-convective micropolar nanomaterial flow over stretched sheet with entropy optimization
Entropy generation (EG) in bioconvective nanofluid flows is a phenomenon that occurs due
to the presence of nanoparticles and microorganisms within fluid flows. EG leads to an …
to the presence of nanoparticles and microorganisms within fluid flows. EG leads to an …
Thermal analysis of chemically reactive and radiative hybrid nanofluid flow by a curved stretchable surface with bioconvection
Hybrid nanofluids are advanced heat transfer fluids that combine the benefits of traditional
nanofluids with additional features to enhance their performance. These fluids have the …
nanofluids with additional features to enhance their performance. These fluids have the …
Comparison of Approximate Analytical and Numerical Solutions of the Allen Cahn Equation
Allen Cahn (AC) equation is highly nonlinear due to the presence of cubic term and also
very stiff; therefore, it is not easy to find its exact analytical solution in the closed form. In the …
very stiff; therefore, it is not easy to find its exact analytical solution in the closed form. In the …
Some Error Bounds for 2‐Point Right Radau Formula in the Setting of Fractional Calculus via s‐Convexity
In this paper, we present a new approach to construct fractional 2‐point right Radau type
integral inequalities using a novel identity, for functions with s‐convex first derivatives in the …
integral inequalities using a novel identity, for functions with s‐convex first derivatives in the …
Stability analysis of a nonlinear malaria transmission epidemic model using an effective numerical scheme
JJ He, A Aljohani, S Mustafa, A Shokri… - Scientific Reports, 2024 - nature.com
Malaria is a fever condition that results from Plasmodium parasites, which are transferred to
humans by the attacks of infected female Anopheles mosquitos. The deterministic …
humans by the attacks of infected female Anopheles mosquitos. The deterministic …
Comparing the Performance of Two Butcher-Based Block Hybrid Algorithms for the Solution of Initial Value Problems
In this paper, we compare the performances of two Butcher-based block hybrid methods for
the numerical integration of initial value problems. We compare the condition numbers of the …
the numerical integration of initial value problems. We compare the condition numbers of the …
Computer Model of Pump–Well–Reservoir System Based on the New Concept of Imitational Modeling of Dynamic Systems
A new concept of simulation modeling of dynamic systems is developed. The basic notions
and terms of the concept are outlined, as well as the principles of creating a simulation …
and terms of the concept are outlined, as well as the principles of creating a simulation …