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Title of article :
Group preserving scheme for the Cauchy problem of the Laplace equation
Author/Authors :
Abbasbandy، نويسنده , , S. and Hashemi، نويسنده , , M.S.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
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Abstract :
In this paper, we consider the Cauchy problem for the Laplace equation by group preserving scheme (GPS) which is an ill-posed problem, because the solution does not depend continuously on the data. For this, the Laplace equation, by using a semi-discretization method namely method of line, is converted to an ODEs system and then obtained ODEs system is considered by GPS. Stability of GPS for ill-posed Laplace equation is shown. The problem numerical results show the efficiency and power of this method.
Keywords :
Ill-posed problem , Laplace equation , Method of line , Group preserving scheme
Journal title :
Engineering Analysis with Boundary Elements
Serial Year :
Link To Document :