A problem of coefficient determination in parabolic equations solved as moment problem
作者: Maria Beatriz Pintarelli
作者单位: 1Universidad Nacional de La Plata. mariabpintarelli@gmail.com
刊名: International Journal of Applied Mathematical Research, 2017, Vol.6 (4), pp.109-114
来源数据库: Science Publishing Corporation
DOI: 10.14419/ijamr.v6i4.8319
关键词: Generalized Moment ProblemIntegral EquationsInverse ProblemParabolic PdesTruncated Expansion Method.
原始语种摘要: The problem is to find a(t) y w(x; t) such that wt = a(t) (wx)x+r(x; t) under the initial condition w(x; 0) =fi(x) and the boundary conditions w(0; t) = 0 ; wx(0; t) = wx(1; t)+alfa w(1; t) about a region D ={(x; t); 0 0}. In addition it must be fulfilled the integral of w (x, t) with respect to x is equal to E(t) where fi(x) , r(x; t) and E(t) are known functions and alfa is an arbitrary real number other than zero.The objective is to solve the problem as an application of the inverse moment problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. In addition, the method is illustrated with several examples.
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关键词翻译
关键词翻译
  • problem 题目
  • moment 
  • inverse 逆的
  • bounds 界限
  • determination 测定
  • objective 接物镜
  • number 号码
  • parabolic 抛物线的
  • arbitrary 任意的
  • several 各自