Results 91 to 100 of about 1,843 (199)

Mathematical modeling of chickenpox transmission using the Laplace Adomian Decomposition Method

open access: yesResults in Control and Optimization
In this work, mathematical modeling of a nonlinear differential equation was studied to investigate the effect of vaccination on the spread of chickenpox. The proof of existence and uniqueness of the positive solution and invariant region showed that the model is epidemiologically sound.
Tawakalt A. Ayoola   +3 more
openaire   +2 more sources

Collocation Finite Element Method for the Fractional Fokker–Planck Equation

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 3, Page 224-232, March 2025.
This study explores approximate solutions for fractional Fokker–Planck equations using general finite element schemes developed via the collocation finite element method with trigonometric quintic B‐spline basis functions. It validates these methods on two fundamental problems and compares numerical results, including L2$$ {L}_2 $$ and L∞$$ {L}_{\infty
Hatice Karabenli   +2 more
wiley   +1 more source

Time-Fractional Shallow-Water Model for Atmospheric Fluid Layers: Analysis and Semi-Analytical Solution

open access: yesAxioms
Oscillatory motions in stratified atmospheric fluid layers significantly influence weather and climate dynamics. Shallow-water equations effectively describe these motions.
Priti V. Tandel   +2 more
doaj   +1 more source

Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method

open access: yesAdvances in High Energy Physics, 2018
We study the equations of motion of the massive and massless particles in the Schwarzschild geometry of general relativity by using the Laplace-Adomian Decomposition Method, which proved to be extremely successful in obtaining series solutions to a wide ...
Man Kwong Mak   +2 more
doaj   +1 more source

Mathematical modeling and numerical simulation of HIV infection model

open access: yesResults in Applied Mathematics, 2020
In this work we implement two numerical schemes namely continuous Galerkin–Petrov (cGP(2)) and Legendre Wavelet Collocation Method (LWCM) for the approximate solution of the mathematical model which describes the behavior of CD4+T-cells, infected CD4+T ...
Attaullah, Muhammad Sohaib
doaj   +1 more source

INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]

open access: yes
This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core  

Adaptive Robust Nonlinear Optimal Sliding Mode Control for Wind Turbines: A Hybrid OHAM‐Based Approach to Maximize Power Capture

open access: yesIET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
In this article, we propose an adaptive robust nonlinear optimal sliding mode control using the optimal homotopy asymptotic method (RNOSC‐OHAM) for maximizing wind power capture. Because of the unstable nature of the wind and the presence of uncertainties and disturbances in the structure of the wind turbine, the optimal controller cannot provide ...
Arefe Shalbafian   +2 more
wiley   +1 more source

Numerical investigation of Differential Biological-Models via GA-Kansa Method Inclusive Genetic Strategy

open access: yes, 2017
In this paper, we use Kansa method for solving the system of differential equations in the area of biology. One of the challenges in Kansa method is picking out an optimum value for Shape parameter in Radial Basis Function to achieve the best result of ...
Fallah, Mohammad Kazem   +2 more
core  

Mathematical Analysis of Fractional Order Co-Infection TB and HIV Model

open access: yesInternational Journal of Analysis and Applications, 2020
A mathematical model of HIV/AIDS and TB including its co-infections is formulated. We find the Equilibrium points and with the help of numerical simulation, we have analyze that the sub-models of TB, HIV/AIDS and its co-infections.
Muhammad Farman   +3 more
doaj  

Mathematical analysis of fractional-order Caputo's derivative of coronavirus disease model via Laplace Adomian decomposition method. [PDF]

open access: yesBeni Suef Univ J Basic Appl Sci, 2022
Yunus AO   +4 more
europepmc   +1 more source

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