In this paper, the problem of solving the two-dimensional diffusion equation subject to a non-local condition involving a double integral in a rectangular region is considered. The solution of this type of problems are complicated. Therefore, a simple meshless method using the radial basis functions is constructed for the non-local boundary value problem with Neumann's boundary conditions. Numerical examples are included to demonstrate the reliability and efficiency of this method. Also N e and root mean square errors are obtained to show the convergence of the method. © 2011 Elsevier Inc.
Kazem, S., & Rad, J. A. (2012). Radial basis functions method for solving of a non-local boundary value problem with Neumann’s boundary conditions. Applied Mathematical Modelling, 36(6), 2360–2369. https://doi.org/10.1016/j.apm.2011.08.032