In this manuscript, the use of Radial basis function based on collocation method as one of the mesh-less method have been studied for solving linear integral equations. A novel basic in the RBFs class called BiRadial basis function is introduced and compared with MQ RBF to confirm the accuracy and efficiency of this new base. The roots of the Chebyshev orthogonal polynomials are considered as the collocation points. The results of numerical experiments of proposed methods are compared with the exact solution in illustrative examples to confirm the accuracy and efficiency of the presented schemes. Significant results appeared for new novel basis BiRBF.