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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yingying Xie & Lingfei Li & Mancang Wang, 2021. "Adomian Decomposition Method with Orthogonal Polynomials: Laguerre Polynomials and the Second Kind of Chebyshev Polynomials," Mathematics, MDPI, vol. 9(15), pages 1-8, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1796-:d:603800
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