Results 81 to 90 of about 1,843 (199)

Comparison Homotopy Perturbation and Adomian Decomposition Techniques for Parabolic Equations [PDF]

, 2017
This paper compares homotopy perturbation and Adomian decomposition techniques for the solution of parabolic equations. Some examples are considered to illustrate the techniques.
Okagbue, H. I., Opanuga, A. A., Owoloko, E.A.   +2 more
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Stability and Hopf Bifurcations Analysis in a Three‐Phase Dengue Diffusion Model With Time Delay in Fractional Derivative and Laplace–Adomian Decomposition Numerical Approach

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.
ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi, M. Ariyanatchi, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat   +4 more
wiley   +1 more source

The Laplace-Adomian Decomposition Method Applied to the Kundu-Eckhaus Equation

, 2017
The Kundu-Eckhaus equation is a nonlinear partial differential equation which seems in the quantum field theory, weakly nonlinear dispersive water waves and nonlinear optics. In spite of its importance, exact solution to this nonlinear equation are rarely found in literature. In this work, we solve this equation and present a new approach to obtain the
openaire   +2 more sources

Finite Difference Method and Laplace Transform for Boundary Value Problems [PDF]

, 2017
This article presents the solution of boundary value problems using finite difference scheme and Laplace transform method. Some examples are solved to illustrate the methods; Laplace transforms gives a closed form solution while in finite difference ...
Agboola, O.O., Okagbue, H. I., Opanuga, A. A., Owoloko, E. A.   +3 more
core   +1 more source

Time-Fractional KdV Equation: Formulation and Solution using Variational Methods

, 2011
In this work, the semi-inverse method has been used to derive the Lagrangian of the Korteweg-de Vries (KdV) equation. Then, the time operator of the Lagrangian of the KdV equation has been transformed into fractional domain in terms of the left-Riemann ...
A. A. Mahmoud, A. Babakhani, A.A. Kilbas, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Delbosco, D.J. Korteweg, E. M. Abulwafa, E.M. Rabei, F. Riewe, F. Riewe, G.S.F. Frederico, H. Bateman, I. Podlubny, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.A. Tenreiro Machado, M. A. Zahran, M. Attari, M. Inokuti, M.A.E. Herzallah, M.K. Fung, M.S. Tavazoei, N. Heymans, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, R.V. Mendes, R.Y. Molliq, S. A. El-Wakil, S. Momani, S. Saha Ray, S.G. Samko, S.I. Muslih, S.Q. Zhang, V.E. Tarasov, V.E. Tarasov, Y. Luchko   +43 more
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A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

On a nonlinear singular one-dimensional parabolic equation and double Laplace decomposition method

Advances in Mechanical Engineering, 2017
In this article, the double Laplace transform and Adomian decomposition method are used to solve the nonlinear singular one-dimensional parabolic equation. In addition, we studied the convergence analysis of our problem.
Hassan Eltayeb Gadain, Imed Bachar
doaj   +1 more source

Mathematical Analysis of the Transmission Dynamics of Malaria and Tuberculosis Co‐Infection With Control Strategies

Engineering Reports, Volume 7, Issue 6, June 2025.
ABSTRACT Co‐infections such as malaria and tuberculosis pose significant public health challenges, particularly in regions where both diseases are endemic. Despite the global burden of these infections, their combined transmission dynamics remain poorly understood, highlighting the importance of this study. We develop a comprehensive mathematical model
Benedict Celestine Agbata, Erjola Cenaj, Dennis Ferdinand Agbebaku, Obiora Cornelius Collins, Raimonda Dervishi, Homan Emadifar, Azuka Uzoamaka Ezeafulukwe, Godwin Christopher Ezike Mbah   +7 more
wiley   +1 more source

A method for inverting the Laplace transforms of two classes of rational transfer functions in control engineering

Alexandria Engineering Journal, 2020
A dependable approach for inverting two classes of rational Laplace transforms, involving regular polynomials and partial sums with non-integer exponents is developed. Such types of Laplace transforms frequently emerge as the system transfer functions in
Hooman Fatoorehchi, Randolph Rach
doaj   +1 more source

Some Problems on Variational Iteration Method [PDF]

, 2015
In this research project paper, I introduce some basic idea of Variational iteration method and its algorithm to solve the equations ODE & PDE, fractional differential equation, fractal differential equation and differential-difference equations.
Patra, Jaysmita
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