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B-Spline Method for Solving Boundary Value Problems of Linear Ordinary Differential Equations

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Information Computing and Applications (ICICA 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 106))

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Abstract

B-spline functions play important roles in both mathematics and engineering. In this paper, we develop a numerical method for solving the boundary value problem of linear ODE with second-order by using B-spline. First, the cubic B-spline basis functions are introduced, and then we use the linear combination of cubic B-spline basis to approximate the solution. Finally, we obtain the numerical solution by solving tri-diagonal equations. The results are compared with finite difference method and linear shooting method through an example which shows that the B-spline method is feasible and efficient.

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Author information

Authors and Affiliations

  1. College of Science, Hebei Polytechnic University, Tangshan, 063009, China

    Jincai Chang, Qianli Yang & Chunfeng Liu

Authors
  1. Jincai Chang
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  2. Qianli Yang
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  3. Chunfeng Liu
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Editor information

Editors and Affiliations

  1. College of Computer Science, South-Central University for Nationalities, 708 Minyuan Road, 430074, Wuhan, China

    Rongbo Zhu

  2. 8001, Melbourne, VIC, Australia

    Yanchun Zhang

  3. College of sciences, He’Bei polytechnic University, 063000, Tangshan, Hebei, China

    Baoxiang Liu  & Chunfeng Liu  & 

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Chang, J., Yang, Q., Liu, C. (2010). B-Spline Method for Solving Boundary Value Problems of Linear Ordinary Differential Equations. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16339-5_43

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  • DOI: https://doi.org/10.1007/978-3-642-16339-5_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16338-8

  • Online ISBN: 978-3-642-16339-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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