Results 71 to 80 of about 11,407,574 (171)
Abstract and Applied Analysis, 2013 Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
doaj +1 more source
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel +3 more
wiley +1 more source
Solving fractional-order ordinary differential equations via Adomian decomposition method
, 2021 This master's thesis deals with solving fractional-order ordinary differential equations by the Adomian decomposition method. A part of the work is therefore devoted to the theory of equations containing differential operators of non-integer order ...
Šustková, Apolena
core
Numerical analysis of Lane Emden–Fowler equations
Journal of Taibah University for Science, 2018 This paper is devoted to the numerical solutions of Lane Emden–Fowler partial differential equations. For the numerical analysis, we apply Laplace transform coupled with the Adomian decomposition method known as the Laplace Adomian decomposition method ...
Atta Ullah, Kamal Shah
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Modeling and Complexity Analysis of Fuzzy‐Fractional Chaotic Systems Using Deep Neural Networks
Complexity, Volume 2026, Issue 1, 2026.Nonlinear dynamical systems exhibiting chaos, memory and uncertainty effects play a vital role in the modeling of complex phenomena in science and engineering. Due to the rapid growing of development in machine learning and artificial intelligence, data‐driven methods have been widely used for predicting and analysing nonlinear dynamical systems ...
Shamaila Waheed +5 more
wiley +1 more source
The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]
Computational Ecology and Software, 2016 The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab +2 more
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Complexity, Volume 2026, Issue 1, 2026.The fractional Belousov–Zhabotinsky system (BZS) is an important reaction–diffusion model used to describe oscillatory chemical reactions, pattern formation, and memory‐dependent dynamical processes arising in chemistry and related applied sciences. The main objective of this study is to investigate the analytical properties of the fractional BZS and ...
Faten H. Damag +5 more
wiley +1 more source
SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD
, 2017 In this study, first order linear complex differential equations have been solved with adomian decomposition ...
Duz, M.
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Abstract and Applied Analysis, 2014 We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb +2 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.The main focus of our work is to provide a computationally efficient approximate algorithm for finding a numerical solution of singular boundary value problems (SBVPs). For this purpose, we apply a biorthogonal flatlet multiwavelet collocation method (BFMCM) to solve numerically. This is performed by approximating functions using a BFMCM.
Maryam Mohseni +2 more
wiley +1 more source