• Title of article

    Approximate solution of fourth order dierential equation in Neumann problem

  • Author/Authors

    Rashidinia, J. School of Mathematics - Iran University of Science and Technology , Kalvand, D. Faculty of Mathematics - Yerevan state University , Yerevan, Armenia , Tepoyan, L. Faculty of Mathematics - Yerevan state University , Yerevan, Armenia

  • Pages
    12
  • From page
    243
  • To page
    254
  • Abstract
    Generalized solution on Neumann problem of the fourth order ordinary dierential equation in space W2 (0; b) has been discussed , we obtain the condition on B.V.P when the solution is in classical form. Formulation of Quintic Spline Function has been derived and the consistency relations are given.Numerical method,based on Quintic spline approximation has been developed. Spline solution of the given problem has been considered for a certain value of : Error analysis of the spline method is given and it has been tested by an example.
  • Keywords
    Fourth order ordinary differential equation , Neumann problem , generalized solution , quintic spline function , error analysis
  • Journal title
    Astroparticle Physics
  • Serial Year
    2013
  • Record number

    2436118