Simple Parametrization Methods for Generating Adomian Polynomials

Applicable Analysis and Discrete Mathematics

article

K. K. Kataria¹  P. Vellaisamy¹ 

[1] Department of Mathematics, Indian Institute of Technology Bombay

关键词: Adomian decomposition method;    Adomian polynomials;    formal power series;    nonlinear operators;   

DOI  :  10.2298/AADM160123001K

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize theorthogonality 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 ofnonlinearity, which includes the one involved in the Navier Stokes equation,is considered. Explicit expression for the n-th order Adomian polynomialsare obtained in most of the examples.

【 授权许可】

Unknown