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International Conference on Numerical Analysis and Its Applications

NAA 2008: Numerical Analysis and Its Applications pp 556–563Cite as

A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

Abstract

A numerical solution to the one-dimensional hyperbolic equation with concentrated data is considered. A second-order accurate difference scheme is derived by the method of the reduction of order on non-uniform meshes. The solvability, stability and second order L  ∞  convergence are proved. A numerical example demonstrates the theoretical results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, Jiangsu province, P.R. China

    Zhi-zhong Sun

Authors
  1. Zhi-zhong Sun
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Sun, Zz. (2009). A Second Order Accurate Difference Scheme for the Hyperbolic Problem with Concentrated Data. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_65

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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