Numerische Mathematik

, Volume 16, Issue 4, pp 304–321 | Cite as

Long-range numerical solution of mildly non-linear parabolic equations

  • Alfred Carasso


We analyze the convergence of a “boundary-value” procedure for numerically solving the mildly non-linear parabolic equation,
$$u_t = [a (x, t) u_x ]_x + b (x, t) u_x - f(x, t, u)$$
, wherea(x, t)a0>0, andf u ≧0, and the solutionu reaches a steady state ast → ∞. Such a procedure yields an error estimate, which is uniform int. We also discuss an iterative method of solving the difference equations.


Steady State Error Estimate Mathematical Method Iterative Method Difference Equation 
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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Alfred Carasso
    • 1
  1. 1.Dep. of Mathematics and StatisticsUniv. of New MexicoAlbuquerque

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