The one-dimensional heat equation subject to a boundary integral specification

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Use of radial basis functions for solving the second‐order parabolic equation with nonlocal boundary conditions (2008, methodology): “It is easy to check that the exact solution of this test problem [26, 27] is u(x, t) = exp(−(x + sin t)).”
A numerical method for solving the hyperbolic telegraph equation (2008, methodology): “The scheme is similar to finite-difference methods [33–35].”
Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition (2008, background): “The presence of integral terms in boundary conditions can greatly complicate the application of standard numerical techniques such as the familiar finite difference schemes, finite element techniques, spectral procedures and boundary element methods [17–19].”
Advanced Local Fractional Calculus and Its Applications (2012, unknown): “[277] M.”
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.”