Note on Using Radial Basis Functions Method for Solving Nonlinear Integral Equations

Ahmad Golbabai, Omid Nikan, Jaber Ramezani Tousi
2016 Communications in Numerical Analysis  
In this note, the solution of nonlinear integral equations was discussed using radial basis functions (RBFs) method. This method will represent the solution of nonlinear integral equation by interpolating the RBFs based on Legendre-Gauss-Lobatto (LGL) nodes and weights. Zeros of the shifted Legendre polynomials are used as the collocation points. The method is used to some examples to illustrate the accuracy and the implementation of the method.
doi:10.5899/2016/cna-00257 fatcat:nry5popprnfpxdupwpcug2rm64