Accession Number:

AD0700386

Title:

ABOUT CERTAIN EXPLICIT ITERATION METHODS FOR SOLVING A MULTIDIMENSIONAL BIHARMONIC EQUATION,

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

• Molchanov,I. M.

Report Date:

1969-10-02

Pagination or Media Count:

10.0

Abstract:

Two explicit iterative methods are considered for the solution of the difference analog of a multidimensional biharmonic equation in a domain having a contour parallel to the coordinate plane, when a function and its normal derivative are given on the domain boundary. The convergence of the iterative processes constructed is proved and an estimation given of the rate of convergence of the processes. Author

Descriptors:

• (*BOUNDARY VALUE PROBLEMS
• *ITERATIONS)
• APPROXIMATION(MATHEMATICS)
• POTENTIAL THEORY
• NUMERICAL INTEGRATION
• THEOREMS
• USSR

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE