A PROCEDURE WHICH SIMPLIFIES THE BUBNOV-GALERKIN METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS,

Abstract

The author presents a procedure which makes it possible to use the Bubnov-Galerkin method in the solution of boundary value problems for ordinary differential and integrodifferential equations when the coordinate system of the functions does not satisfy the boundary conditions. As an example, the author investigates a plate on an elastic base interacting with a fluid, as well as the problem of the vibration of a closed spherical shell filled with fluid. The procedure is described in detail and the findings are compared with other data.

Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1969
Accession Number
AD0687230

Entities

People

  • V. P. Shmakov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Galerkin Method
  • Mathematical Analysis
  • Mathematics
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.