Results 41 to 50 of about 11,407,574 (171)

Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order [PDF]

Notes on IFS
The aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method.
Razika Ettoussi, Said Melliani, Lalla Saadia Chadli   +2 more
doaj   +1 more source

New Generalised Semi‐Analytical Approach for the Multidimensional Nonlinear Collisional Fragmentation Equations

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 980-999, August 2026.
This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav, Ashok Das, Sukhjit Singh, Randhir Singh, Mehakpreet Singh   +4 more
wiley   +1 more source

Adomian Decomposition Method: Convergence Analysis and Numerical Approximations [PDF]

, 2008
We prove convergence of the Adomian Decomposition Method (ADM) by using the Cauchy-Kovalevskaya theorem for differential equations with analytic vector fields, and obtain a new result on the convergence rate of the ADM.
Abdelrazec, Ahmed
core  

Parametrized Adomian Decomposition Method with Optimum Convergence

, 2017
The classical Adomian decomposition method frequently used to solve linear and nonlinear algebraic or integro-differential equations of ordinary and partial type is revisited.
Mustafa Turkyilmazoglu, TÜRKYILMAZOĞLU, MUSTAFA   +1 more
core   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Discrete adomian decomposition method for solving fredholm integral equations of the second kind [PDF]

, 2013
The nonlinear Fredholm integral equation (FIE) represents a large amount of nonlinear phenomena that usually produces a considerable amount of difficulties.
Mohammed, Salar Hameed
core  

Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator

Journal of Function Spaces, 2022
In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method.
Saleh Alshammari, Naveed Iqbal, Mohammad Yar   +2 more
doaj   +1 more source

An efficient semi‐analytical approach for the free vibration behavior of DWCNTs on elastic foundations based on nonlocal elasticity theory

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.
Abstract In this study, a comprehensive analytical framework is developed to investigate the free vibration behavior of double‐walled carbon nanotubes (DWCNTs) resting on an elastic foundation, based on Eringen's nonlocal elasticity theory. The DWCNTs are modeled as two coupled Euler–Bernoulli (EB) beams, explicitly incorporating intertube van der ...
Ayşegül Tepe
wiley   +1 more source

Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains

International Journal of Differential Equations, 2015
We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
doaj   +1 more source

A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method

Advances in Difference Equations, 2020
In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respectively.
Hassan Eltayeb, Imed Bachar, Yahya T. Abdalla   +2 more
doaj   +1 more source