Adomian Decomposition Method with Orthogonal Polynomials: Laguerre Polynomials and the Second Kind of Chebyshev Polynomials

Yingying Xie, Lingfei Li and Mancang Wang
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Yingying Xie: School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China
Lingfei Li: School of Economics and Management, Northwest University, Xi’an 710127, China
Mancang Wang: School of Economics and Management, Northwest University, Xi’an 710127, China

Mathematics, 2021, vol. 9, issue 15, 1-8

Abstract: In this paper, a new efficient and practical modification of the Adomian decomposition method is proposed with Laguerre polynomials and the second kind of Chebyshev polynomials which has not been introduced in other articles to the best of our knowledge. This approach can be utilized to approximately solve linear and nonlinear differential equations. The proposed formulations are examined by a representative example and the numerical results confirm their efficiency and accuracy.

Keywords: Adomian decomposition method; Laguerre polynomials; Chebyshev polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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