• group preserving scheme for the cauchy problem of the laplace equation

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 624
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    group preserving scheme for the cauchy problem of the laplace equation 
     
    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. in this paper, firstly we use the method of line for semi-discretization of laplace equation and then we apply the gps, which firstly derived by liu. gps uses the cayley transformation and the pade´ approximations in the augmented space, namely minkowski.

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