• Title of article

    Numerical ‎S‎olution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions‎

  • Author/Authors

    Shivanian, E. Department of Mathematics - Imam Khomeini International University, Qazvin, Iran , Aslefallah, M. Department of Mathematics - Imam Khomeini International University, Qazvin, Iran

  • Pages
    10
  • From page
    25
  • To page
    34
  • Abstract
    This paper proposes a numerical method to the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation is of major challenge in the frame work of the numerical solutions of PDEs. The method benefits from collocation radial basis function method, the generalized thin plate splines radial basis functions are used.Therefore, it does not require any struggle to determine shape parameter (In other RBFs, it is time-consuming step).
  • Keywords
    Radial basis function , Hyperbolic equations with purely integral conditions , Kansa method , Finite differences $theta -$ method
  • Journal title
    Astroparticle Physics
  • Serial Year
    2019
  • Record number

    2438583