Results 81 to 90 of about 476 (175)

Using the Natural Generalized Laplace Transform to Solve the Time-Fractional Navier–Stokes Equation

Fractal and Fractional
This article proposes a novel approach for dealing with the time-fractional Navier–Stokes equations via the natural generalized Laplace transform decomposition method (NGLTDM).
Hassan Eltayeb
doaj   +1 more source

New Iterative Method Based on Laplace Decomposition Algorithm

Journal of Applied Mathematics, 2013
We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations.
Sabir Widatalla, M. Z. Liu
doaj   +1 more source

Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells

Discrete Dynamics in Nature and Society, 2015
The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in ...
Fang Chen, Qing-Quan Liu
doaj   +1 more source

Laplace Adomian Decomposition and Modify Laplace Adomian Decomposition Methods for Solving Linear Volterra Integro-Fractional Differential Equations with Constant Multi-Time Retarded Delay

JOURNAL of UNIVERSITY of BABYLON for Pure and Applied Sciences, 2019
     في هذا العمل نقدم تحويلات لابلاس مع طريقة أدوميان التحليلية المتسلسلة و كما اننا نعدل طريقة أدوميان التحليلية للمرة الاولى لحل معادلات فولتيرا التفاضلية-التكاملية الخطيه للرتب الكسرية كما في مفهوم كابوتو مع التأخير الحدي المتضاعف الثابت.
Ahmed , Shazad Shawki, Amin , Miran B. M., Hamasalih, Shokhan A.   +2 more
openaire   +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

Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method. [PDF]

Sci Rep, 2023
Jamal N, Sarwar M, Agarwal P, Mlaiki N, Aloqaily A.   +4 more
europepmc   +1 more source

An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives

Journal of Applied Mathematics
In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM).
Shams A. Ahmed
doaj   +1 more source

Sensitivity analysis and applications of Laplace Adomian Decomposition Method in solving fractional order malaria model

Journal of Basics and Applied Sciences Research
This study explores the sensitivity analysis and implementation of the Laplace-Adomian Decomposition Method (LADM) in solving a fractional-order malaria transmission model utilizing the Caputo fractional derivative. A deterministic compartmental model comprising eight ordinary differential equations is formulated to capture the dynamics of malaria ...
B. C., Agbata, O. V., Atabo, E. O., Senewo, B. D., Micheal, I. G., Ezugorie, Q. O., Ahman   +5 more
openaire   +2 more sources

A caputo fractional order epidemic model for evaluating the effectiveness of high-risk quarantine and vaccination strategies on the spread of COVID-19. [PDF]

Healthc Anal (N Y), 2023
Olayiwola MO, Alaje AI, Olarewaju AY, Adedokun KA.   +3 more
europepmc   +1 more source

Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels. [PDF]

Sci Rep, 2023
Alsallami SAM, Maneea M, Khalil EM, Abdel-Khalek S, Ali KK.   +4 more
europepmc   +1 more source