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Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space

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Abstract

In this paper, a function space is constructed, in which an arbitrary function satisfies the nonlocal boundary conditions of a nonlinear pseudoparabolic equation. A very simple numerical algorithm for the approximations of the nonlinear pseudoparabolic equation with nonlocal boundary conditions based on the function space is provided. A numerical example is given to illustrate the applicability and efficiency of the algorithm.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology (WEIHAI), Wei Hai, Shan Dong, 264209, People’s Republic of China

    Lin Yingzhen & Zhou Yongfang

  2. Department of Mathematics and Mechanics, Heilongjiang Institute of Science and Technology, Harbin, HeiLongJiang, 150027, People’s Republic of China

    Zhou Yongfang

Authors
  1. Lin Yingzhen
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  2. Zhou Yongfang
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Correspondence to Lin Yingzhen.

Additional information

Foundation item: Supported by National Natural Science Foundation of China (No. 60572125); Supported by Heilongjiang Institute of Science and Technology (No. 07–17).

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Lin, Y., Zhou, Y. Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space. Numer Algor 52, 173–186 (2009). https://doi.org/10.1007/s11075-009-9263-6

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  • DOI: https://doi.org/10.1007/s11075-009-9263-6

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