Resumen de An approximate method for solution of nonlocal boundary value problems via Gaussian radial basis functions
M. Khaksarfard, Y. Ordokhani, E. Babolian
In this paper, we convert the parabolic and hyperbolic partial differential equations with initial and integral boundary conditions into classical Dirichlet initial-boundary value problems. We use a new scheme to solve the nonlocal initial-boundary value problems using collocation points and approximating the solution using radial basis functions (RBFs). We introduce radial basis functions and a new operational matrix of derivative for Gaussian (GA) radial basis functions is employed to reduce the problem to a set of algebraic equations. The results of numerical experiments are presented and compared with the results of other methods to confirm the validity of this method.
