Numerical solution to a non-linear parabolic boundary control problem

Dinh Nho Hao, Nguyen Trung Thanh, H. Sahli

Research output: Chapter in Book/Report/Conference proceedingChapter


The so-called difference of convex functions algorithm and the continuation technique are applied to solving the nonlinear parabolic boundary control problem (formula Presented) where α > 0 is given and y(x, t) = y(x, t; u) is the solution to the non-linear parabolic problem yt(x,t)=yxx(x,t), 0<x<t<T, y(x,0)=y0(x), 0<x<1, yx(0,t)=0, yx(1,t)=g(y(1,t)) + u(t), 0<t<T with {u ε L∞([0,T])|umin(t) ≤ u(t) ≤ umax(t), for a.e. t ε [0,T]}. Numerical examples are given to show the efficiency of the method.

Original languageEnglish (US)
Title of host publicationAdvances in Deterministic and Stochastic Analysis
PublisherWorld Scientific Publishing Co.
Number of pages16
ISBN (Electronic)9789812770493
ISBN (Print)9812705503, 9789812705501
StatePublished - Jan 1 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy


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