Research Article

Application of Radial Basis Function Method for Solving Nonlinear Integral Equations

Algorithm 1

Flowchart for background mesh quadrature technique.
(1) Loop over cells of domain
(2) Loop over quadrature points in every cell
 (a) if quadrature point outside solution domain, go to 2(d);
 (b) if quadrature point inside solution domain, compute the integrand in (18), then multiplied by the
  corresponding Gauss weights, go to 2(d);
 (c) if quadrature point located in solution boundary, perform the similar process as 2(b) and then multiplied by 0.5;
 (d) end if.
(3) End quadrature point loop
(4) End cell loop
(5) Give the matrix element