# Simple Parametrization Methods for Generating Adomian Polynomials

Source: [Simple Parametrization Methods for Generating Adomian Polynomials](<https://www.sota2.com/research/paper/68fa358d1e209131ce8a2c8c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:20:29.680Z

Authors: K. K. Kataria, P. Vellaisamy

Published: 2014-08-21T06:22:09.000Z

## Abstract

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. Some important properties of Adomian polynomials are also discussed and illustrated with examples. These methods require minimum computation, are easy to implement, and are extended to multivariable case also. Examples of different forms of nonlinearity, which includes the one involved in the Navier Stokes equation, is considered. Explicit expression for the n-th order Adomian polynomials are obtained in most of the examples.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1408.4895>)

[PDF](<https://arxiv.org/pdf/1408.4895.pdf>)