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Numerische Mathematik

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

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

  • Alfred Carasso
Article

Summary

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.

Keywords

Steady State Error Estimate Mathematical Method Iterative Method Difference Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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