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- Title
On an iteration method for a nonlinear differential-operator equation.
- Authors
Vinogradova, P.; Zarubin, A.
- Abstract
We study an iteration method for a first-order differential-operator equation with a nonlinear operator in a separable Hilbert space. The convergence of the iterative process is proved in the strong norms. Convergence estimates are derived. We present an application of the suggested method to the solution of a model initial-boundary value problem for a fourth-order parabolic equation.
- Subjects
NONLINEAR operator equations; ITERATIVE methods (Mathematics); HILBERT space; STOCHASTIC convergence; NUMERICAL solutions to boundary value problems; PARABOLIC differential equations
- Publication
Differential Equations, 2014, Vol 50, Issue 9, p1225
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266114090092