Finite difference methods with application to the cavity problem
نویسندگان
چکیده
منابع مشابه
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In this paper we analyze the convergence of a centered finite-difference approximation to the nonselfadjoint Sturm-Liouville eigenvalue problem 2[u\ = [a(x) u'Y b{x)u' + c(x)u = \u, 0 < x < 1, ( } «(0) = u(l) = 0 where S has smooth coefficients and a(x) ï a« > 0 on [0, 1]. We show that the rate of convergence is 0(Az2) as in the selfadjoint case for a scheme of the same accuracy. We also establ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1976
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700024904