Results 31 to 40 of about 1,266 (181)

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

On the numerical solution of Fredholm-type integro-differential equations using an efficient modified Adomian decomposition method [PDF]

Mathematics and Computational Sciences
The efficiency of the Adomian decomposition method in the solution of integro-differential equations cannot be overemphasized. However, improvement of the method is needed as its drawbacks have been analyzed and reported in recent literature.
Kabiru Kareem, Morufu Olayiwola, Muideen Ogunniran   +2 more
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

Results in Nonlinear Analysis, 2021
In this paper, we apply the homotopy perturbation method (HPM), modified homotopy perturbation method (MHPM), variational iteration method (VIM), Adomian decomposition method (ADM), and modified Adomian decomposition method (MADM) to solve nonlinear ...
Fawziah M. Al-saar, Kirtiwant P. Ghadle
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

Adomian decomposition method for solving initial value problems in vibration models

MATEC Web of Conferences, 2018
A number of engineering problems have second-order ordinary differential equations as their mathematical models. In practice, we may have a large scale problem with a large number of degrees of freedom, which must be solved accurately.
Mungkasi Sudi, Ekaputra I Made Wicaksana
doaj   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

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

RESOLUTION OF RICCATI EQUATION BY THE METHOD DECOMPOSITIONAL OF ADOMIAN

International Journal of Research -GRANTHAALAYAH, 2016
In this work, we will use the method of decompositional for Adomian solve the Riccati equation in the form:                                    
Abdelbaki Choucha, Kaddour Guerbati
openaire   +2 more sources

A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy, Phalguni Nanda, Michael Vynnycky   +2 more
wiley   +1 more source