A numerical method for computing radially symmetric solutions of a   dissipative nonlinear modified Klein-Gordon equation
  In this paper we develop a finite-difference scheme to approximate radially symmetric solutions of the initial-value problem with smooth initial conditions in an open sphere around the origin, where the internal and external damping coefficients are constant, and the nonlinear term follows a power law. We prove that our scheme is consistent of second order when the nonlinearity is identically equal to zero, and provide a necessary condition for it to be stable order n. Part of our study will be devoted to compare the physical effects of the damping coefficients. 
J. E. Mac\'ias-D\'iaz and A. Puri
math.NA math-ph math.MP physics.class-ph physics.comp-ph