On the solution of an initial‐boundary value problem that combines Neumann and integral condition for the wave equation

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Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions (2009, methodology): “It is worth to point out that the RBFs method developed in the current paper can be employed to solve the nonclassic boundary value problems investigated in [38,39].”
A numerical method for solving the hyperbolic telegraph equation (2008, methodology): “The scheme is similar to finite-difference methods [33–35].”
High order compact solution of the one‐space‐dimensional linear hyperbolic equation (2008, unknown): “In recent years, much attention has been given in the literature to the development, analysis, and implementation of stable methods for the numerical solution of second-order hyperbolic equations, see, for example [1, 2, 10, 11, 13].”
A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions (2008, methodology): “Due to its simplicity to implement, it represents an attractive alternative to the finite-difference [11,39–41] method (FDM), the finite-element method (FEM) and the boundary-element method (BEM) as a solution method of nonlinear differential equations.”
A numerical method for the wave equation subject to a non-local conservation condition (2006, background): “It may also be of interest to compare our results here with those obtained by Dehghan [7] for the same test problem.”