This current investigation consists of the numerical solutions Generalized Rosenau-KdV equation by using meshless kernel-based method lines, which is a truly method. The governing nonlinear partial differential but use lines leads to an ordinary equation. Thus, replaced efficiency used technique tested different examples. Numerical values error norms and physical invariants are compared with kn...

This paper’s purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric quasi-interpolation scheme for approximati...

Promising numerical results using once and twice integrated radial basis functions have been recently presented. In this work we investigate the integrated radial basis function (IRBF) concept in greater detail, connect to the existing RBF theory, and make conjectures about the properties of IRBF approximation methods. The IRBF methods are used to solve PDEs. c © 2006 Elsevier Science Ltd. All ...