Symbolic Computation of Adomian Polynomials Based on Rach’s Rule
Journal of Advances in Mathematics and Computer Science · pp. 562–570 · Published 18 Nov 2014
10.9734/BJMCS/2015/14067Abstract
This paper presents a simple way of computing Adomian polynomials by applying the decomposition of positive integers as a subscript of the variable ‘u’ for nonlinear terms much similarly motivated by Abbaoui et al. through the use of MATLAB software. The proposed MATLAB program exploits symbolic programming for generating Adomian polynomials.
References (20)
- 1 Solving Frontier Problems of Physics: The Decomposition Method [DOI]
- 2 A review of the decomposition method in applied mathematics [DOI]
- 3 A new algorithm for calculating adomian polynomials for nonlinear operators [DOI]
- 4 Convergence of Adomian's Method [DOI]
- 5 Nonlinear Stochastic Operator Equations
- 6 Decomposition methods: A new proof of convergence [DOI]
- 7 Convergence of Adomian's method applied to differential equations [DOI]
- 8 New ideas for proving convergence of decomposition methods [DOI]
- 9 Convergence of Adomian's method applied to nonlinear equations [DOI]
- 10 A convenient computational form for the Adomian polynomials [DOI]
- 11 Convenient analytic recurrence algorithms for the Adomian polynomials [DOI]
- 12 Recurrence triangle for Adomian polynomials [DOI]
- 13 An efficient algorithm for the multivariable Adomian polynomials [DOI]
- 14 New results for convergence of Adomian's method applied to integral equations [DOI]
- 15 The theoretical foundation of the Adomian method [DOI]
- 16 Generalization of adomian polynomials to functions of several variables [DOI]
- 17 Explicit solutions of nonlinear partial differential equations [DOI]
- 18 On Calculation of Adomian Polynomials by MATLAB
- 19 Practical formulae for calculation of Adomian's polynomials and application to the convergence of the decomposition method [DOI]
- 20 Symbolic implementation of the algorithm for calculating Adomian polynomials [DOI]
Cited by 13
U. Umesh · International Journal of Numerical Methods for Heat & Fluid Flow · 2023
Mukesh Kumar, Umesh · International Journal of Applied and Computational Mathematics · 2022
Umesh, Manoj Kumar · Journal of Applied Mathematics and Computation · 2020
U. Umesh, M. Kumar · Engineering computations · 2020
Ashenafi Gizaw Jije · 2020
Umesh, Manoj Kumar · Engineering computations · 2020
M. Kaliyappan, G. Grace · 2020
A. U. Keskin · Boundary Value Problems for Engineers · 2019
Showing 8 of 13 known citations — external sources report more than can currently be individually listed.
Related research
- Modeling Analysis of Stirred Tank Reactors — shares topic coverage
- Numerical Analysis of Semiconductor PN Junctions Using MATLABTM — shares topic coverage
- Evaluation of Wavelet Orthogonal Frequency Division Multiplexing Massive MIMO (W-OFDM mMIMO) for Enhancing Spectral and Energy Efficiencies in Digital Wireless Communication System — shares topic coverage
- Magnetic Fluid Lubrication of Finite Journal Bearing; 3-D Analysis Using FDM — shares topic coverage
- Application of Artificial Neural Network for Predicting the Indoor Air Temperature in Modern Building in Humid Region — shares topic coverage
Article metrics
Real usage data collected on this platform.
38
Page views
0
PDF downloads
7
Outbound clicks
13
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.