Abstract
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.
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