Results 71 to 80 of about 1,843 (199)

Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method

Discrete Dynamics in Nature and Society, 2012
A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method (MLADM) has been proposed for solving the model for HIV infection of CD4+T cells.
Nurettin Doğan
doaj   +1 more source

Finding the general Solution for some extraordinary Differential Equation [PDF]

مجلة التربية والعلم, 2008
This paper has a dual purpose. One purpose is to introduce a method consists of repeatedly applying Riemann-Liouville operator of appropriate order until the equation , ( ) , (q is integer) is transformed into an ordinary differential equation.A second ...
Shayma Murad
doaj   +1 more source

Accuracy Estimation of the Numerical Solutions for Chaotic Regime of the Pendulum With External and Parametric Excitation

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study involves the development of a framework for checking the accuracy of built‐in algorithms from Mathcad software. The built‐in algorithms used inside Mathcad software include Runge–Kutta method of the fourth order (RK4), Adams method, backward differential formula, AdamsBDF, Radau, Bulstoer, Stiffr, and Stiffb methods.
M. C. Kekana, M. Y. Shatalov, S. E. Fadugba, N. Jeeva, T. O. Tong, Theodore Simos   +5 more
wiley   +1 more source

Solution of the Nonlinear Schrödinger Equation with Defocusing Strength Nonlinearities Through the Laplace–Adomian Decomposition Method [PDF]

International Journal of Applied and Computational Mathematics, 2017
In this work we apply the Adomian decomposition method combined with the Laplace transform (LADM) in order to solve the 1-dimensional nonlinear Schrodinger equation whose nonlinear term presents a nonlinear defocusing strength that varies in the spatial direction.
González-Gaxiola, O., Franco, Pedro, Bernal-Jaquez, R.   +2 more
openaire   +3 more sources

Generalized Laplace Transform with Adomian Decomposition Method for Solving Fractional Differential Equations Involving ψ-Caputo Derivative

Mathematics
In this study, we introduced the ψ-Laplace transform Adomian decomposition method, which is a combination of the efficient Adomian decomposition method with the generalization of the classical Laplace transform to treat fractional differential equations ...
Mona Alsulami, Mariam Al-Mazmumy, Maryam Ahmed Alyami, Asrar Saleh Alsulami   +3 more
doaj   +1 more source

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav, M. M. Gour, S. D. Purohit, D. L. Suthar, A. M. Nagy   +4 more
wiley   +1 more source

A note on Laplace Adomian decomposition method on a linear problem

Hilbert Journal of Mathematical Analysis
In last two decades, Laplace Adomian Decomposition Method (LADM) is vastly used to solve non-linear (or even fractional order) differential equations. The method approaches the solution with the partial sums of function series. However, it is not easy to show that the limit of the function series is the exact solution of the problem.
Manzo Senjaya Budiman, Daniel Salim
openaire   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

Fuzzy‐Fractional Modeling and Analysis of Tobacco Smoking Dynamics via He–Laplace–Carson Framework

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study develops a fuzzy‐fractional nonlinear tobacco smoking model by incorporating triangular fuzzy numbers and Caputo fractional derivative. The He–Laplace–Carson algorithm is used to solve and analyze the uncertainties and memory dependent effects involved in potential smokers, mild smokers, regular smokers, and quit smokers.
Mubashir Qayyum, Aneeqa Bilal, Abdou Al Zubaidi, Syed Tauseef Saeed, Gilbert Chambashi, Pramita Mishra   +5 more
wiley   +1 more source

Solving Some Linear and Nonlinear PDEs Using Laplace Adomian Decomposition Method

Journal of Nepal Mathematical Society, 2018
In this paper, Laplace Adomian decomposition method (LADM) is applied to solve linear and nonlinear partial differential equations (PDEs). With the help of proposed method, we handle the approximated analytical solutions to some interesting classes of PDEs including nonlinear evolution equations, Cauchy reaction-diffusion equations and the Klien-Gordon
openaire   +2 more sources