• DocumentCode
    1220247
  • Title

    Higher order approximation for the difference operators in the method of lines

  • Author

    Pregla, Reinhold

  • Author_Institution
    Allgemeine & Theor. Elektrotechnik, Fern Univ., Hagen, Germany
  • Volume
    5
  • Issue
    2
  • fYear
    1995
  • fDate
    2/1/1995 12:00:00 AM
  • Firstpage
    53
  • Lastpage
    55
  • Abstract
    In this paper a new general formalism for improving the convergence of the Method of Lines (MoL) is presented. The procedure reduces the discretization error to an order of higher than O(h4 ). The convergence behaviour is demonstrated for a rib waveguide for optical frequencies
  • Keywords
    approximation theory; convergence of numerical methods; finite difference methods; wave equations; convergence; difference operators; discretization error; higher order approximation; method of lines; rib waveguide; Convergence; Eigenvalues and eigenfunctions; Equations; Frequency; Helium; Hydrogen; Integrated optics; Microwave theory and techniques; Optical waveguides; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    Microwave and Guided Wave Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1051-8207
  • Type

    jour

  • DOI
    10.1109/75.342150
  • Filename
    342150