Kansa method for solving a one-dimensional space-fractional Boussinesq equation

Kansa method for solving a one-dimensional space-fractional Boussinesq equation

Models based on the Boussinesq equation are often used to study tidal signals in coastal aquifers. This paper applied Kansa method, a meshless collocation technique to the One dimensional space-fractional Boussinesq equation. The Kansa method is a meshless technique and Compared with the finite difference and nite element methods is capable for high- dimensional irregular domain problems. In this paper we first use the Kansa approach with substitute the solution with summation of a radial basis function, ϕ(r), then for the time discretization we will using the finite difference scheme. For approximate the space fractional of radial basis function we will use of Gauss-Jacobi quadrature method. Finally linear system of algebraic equations will be solved. one numerical example clarify the effectiveness and accuracy of the considered method.