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

Abstract

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.
Pages115-130
Number of pages16
ISBN (Electronic)9789812770493
ISBN (Print)9812705503, 9789812705501
DOIs
StatePublished - Jan 1 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

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