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A functionally-fitted block hybrid Falkner method for Kepler equations and related problems

Computational and Applied Mathematics, ISSN: 1807-0302, Vol: 42, Issue: 8
2023
  • 4
    Citations
  • 0
    Usage
  • 0
    Captures
  • 1
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    4
  • Mentions
    1
    • News Mentions
      1
      • News
        1

Most Recent News

New Findings in Computational and Applied Mathematics Described from University of Lagos (A Functionally-fitted Block Hybrid Falkner Method for Kepler Equations and Related Problems)

2023 DEC 04 (NewsRx) -- By a News Reporter-Staff News Editor at Math Daily News -- Researchers detail new data in Mathematics - Computational and

Article Description

For the approximate solution of the Kepler equations and some related problems, a fourth-order convergent functionally-fitted block hybrid Falkner method which is based on the concepts of interpolation and collocation of the fitting function given as a linear combination of { 1 , sin (ωx) , cos (ωx) , sinh (ωx) , cosh (ωx) } is presented. The proposed method uses variable coefficients that are based on the product of the dominant frequency and the integration step length. This hybrid formula uses a block-wise implementation strategy to get over the difficulties of the predictor–corrector mode. In addition to being zero stable, the proposed method is applied to the Lambert–Watson linear stability test, which allows obtaining its stability region. Six numerical examples are provided to establish the performance of the proposed method.

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