Title :
Finite difference scheme for /spl part/u//spl part/t + /spl nabla//sup 2/g(u,/spl nabla//sup 2/u) = /spl nabla//sup /spl alpha//f(u,/spl nabla/u)(/spl alpha/ = 0,1,2)
Author :
Choo, SangMok ; Chung, SangKwon ; Lee, YoonTu
Author_Institution :
Sch. of Math. & Phys., Ulsan Univ., South Korea
Abstract :
A finite difference scheme is considered for strongly nonlinear equations which become the Cahn-Hilliard equations as a special case. The scheme inherits mass conservation as for the classical solution. We obtain the corresponding error estimate.
Keywords :
conservation laws; error analysis; estimation theory; finite difference methods; nonlinear equations; Cahn-Hilliard equations; error estimate; finite difference scheme; mass conservation; nonlinear equations;
Conference_Titel :
Science and Technology, 2003. Proceedings KORUS 2003. The 7th Korea-Russia International Symposium on
Conference_Location :
Ulsan, South Korea
Print_ISBN :
89-7868-617-6
