JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (4): 29-39.doi: 10.6040/j.issn.1671-9352.0.2022.352

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Barycentric Lagrange interpolation collocation method for solving nonlinear pseudo-parabolic equations

QU Jin-zheng1, LI Jin1,2*, SU Xiao-ning1   

  1. 1. College of Science, North China University of Science and Technology, Tangshan 063210, Hebei, China;
    2. Hebei Key Laboratory of Data Science and Application, Tangshan 063210, Hebei, China
  • Published:2023-03-27

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Abstract: Barycentric Lagrange interpolation collocation method for solving a class of nonlinear pseudo-parabolic equations is proposed. Firstly, barycentric Lagrange interpolation is introduced and the expression of differential matrix is given. Secondly, direct linearized iterative scheme, partial linearized iterative scheme, Newton linearized iterative scheme for solving nonlinear pseudo-parabolic equation are constructed. Thirdly, unknown functions and initial-boundary value conditions are approximated by barycentric Lagrange interpolation function, discrete equation is obtained by using collocation method, then the matrix equation is obtained. Finally, numerical examples show that the barycentric Lagrange interpolation collocation method has the advantages of high precision and high efficiency.

Key words: nonlinear pseudo-parabolic equation, barycentric Lagrange interpolation, collocation method, iterative scheme

CLC Number: 

  • O241.82
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