Authors

Yunfeng Yin

Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

The method of generalized quasilinearization [4] is applied to study semilinear parabolic equation ut – Lu = f{t,x,u) with nonlocal boundary conditions u(t,x)=∫Ωϕ(x,y)u(t,y)dy in this paper. The convexity of f in u is relaxed by requiring f(t,x,u) Muz to be convex for some M > 0. The quadratic convergence of monotone sequence is obtained.

First Page

117

Last Page

122

DOI

10.1155/S1048953393000115

Publication Date

1993

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