The finite difference method is a numerical method for the solution of analytical problems. It consists in selecting a network of constant or variable steps in the physical field considered. By using taylor expansion of the basic differential equation, the problem is reduced to the solution of a system of linear equations. For the case studied here the differential equation is of the fourth order. The value of the unknown function at one point of the network is a function of the values of the 12 points surrounding it, therefore each equation has at the most 13 unknown quantities. The equations are put in the form of a matrix, and the coefficients of the 13 points form five hollow blocks. The problem can then be solved by inverting a pentadiagonal matrix by blocks. An example is given of the calculation of the deflection of the panel of an orthotropic slab. /TRRL/

  • Corporate Authors:

    Laboratoire Central des Ponts et Chausees (LCPC)

    Boulevard Lefebvre 58
    Paris Cedex 15,   France  F-75732
  • Authors:
    • Bruneau, J
    • LAU, M Y
  • Publication Date: 1976-1-2


  • French

Media Info

Subject/Index Terms

Filing Info

  • Accession Number: 00153947
  • Record Type: Publication
  • Source Agency: Central Laboratory of Bridges & Highways, France
  • Report/Paper Numbers: Analytic
  • Files: ITRD, TRIS
  • Created Date: Sep 20 1977 12:00AM