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In this article we develop a finite‐difference scheme to approximate radially symmetric solutions of a dissipative nonlinear modified Klein‐Gordon equation subject to smooth initial conditions ϕ and ψ in an open sphere  D  around the origin, with constant internal and external damping coefficients—β and γ, respectively—, and nonlinear term of the form  G ′( w ) =  w   p  , with  p  > 1 an odd number. The functions ϕ and ψ are radially symmetric in  D , and ϕ, ψ,  r ϕ, and  r ψ are assumed to be small at infinity. We prove that our scheme is consistent order (Δ t  2 ) + (Δ r  2 ) for  G ′ 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 β and γ. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein‐Gordon equation