• Title of article

    Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra s Population Model

  • Author/Authors

    Parand ، Kourosh - Shahid Beheshti University , Hemami ، Mohammad - Shahid Beheshti University

  • Pages
    10
  • From page
    77
  • To page
    86
  • Abstract
    In this paper, indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterras population model. The method reduces the solu- tion of this problem to the solution of a system of algebraic equa- tions. Volterras model is a non-linear integro-differential equation where the integral term represents the effect of toxin. To solve the problem, we use the well-known CSRBF: W endland3,5. Numerical results and residual norm (∥R(t)∥2) show good accuracy and rate of convergence.
  • Keywords
    ‎Volterra’s population model‎ , Compact support radial basis functions‎ , Collocation method
  • Journal title
    Caspian Journal of Mathematical Sciences
  • Serial Year
    2017
  • Journal title
    Caspian Journal of Mathematical Sciences
  • Record number

    2462136