Results 41 to 50 of about 5,810 (155)
Improved Adomian decomposition method
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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 +3 more
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
Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
Scientific Reports, 2023 In this article, we present an algorithm for computing analytical solutions of linear fuzzy advection-diffusion equations and one-dimensional fuzzy heat equations involving an external source.
Noor Jamal +4 more
doaj +1 more source
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 +2 more
wiley +1 more source
Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order [PDF]
Notes on IFSThe 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 +2 more
doaj +1 more source
Solution of Lane-Emden Equation with Fourier Decomposition Method
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022 In this article, we tried to get the solution of a class of Lane Emden type equations by using the Fourier Decomposition Method. This method is obtained by using the Fourier transform and the Adomian Decomposition method (FADM) together.
Murat Düz
doaj +1 more source
Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method
, 2017 We obtain the state probabilities of various fractional versions of the classical homogeneous Poisson process using an alternate and simpler method known as the Adomian decomposition method (ADM).
Kataria, K. K., Vellaisamy, P.
core +1 more source
Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
wiley +1 more source
Simple Parametrization Methods for Generating Adomian Polynomials
, 2016 In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize the orthogonality of functions einx, where n is an integer.
Kataria, K. K., Vellaisamy, P.
core +1 more source