The Exact and Approximate Solutions of Some Boundary Value Problems in Domains with Angular Points of the Boundary - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.1, January 2017

The Exact and Approximate Solutions of Some Boundary Value Problems in Domains with Angular Points of the Boundary ()

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Download as PDF (Size: 236KB) PP. 39-44

DOI: 10.4236/jamp.2017.51006 1,385 Downloads 2,401 Views Citations

Author(s)

Irina Menshova, Mikhail Kovalenko

Affiliation(s)

Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS, Moscow, Russia.

ABSTRACT

On the basis of the exact solution of biharmonic problems of elasticity theory in a half-strip one possible reason is shown of those problems that arise when an approximate or numerical approaches leading the solution of boundary value problems to infinite systems of linear algebraic equations. Construction of exact solutions of some boundary value problems for differential equations in partial derivatives is not possible without their extensions to Riemann surfaces. Moreover, each of the boundary value problem corresponds to its Riemann surface. This fact is important to consider when developing an effective approximate and numerical methods of solving boundary value problems.

KEYWORDS

Boundary Value Problems, Exact and Approximate Solutions

Share and Cite:

Menshova, I. and Kovalenko, M. (2017) The Exact and Approximate Solutions of Some Boundary Value Problems in Domains with Angular Points of the Boundary. Journal of Applied Mathematics and Physics, 5, 39-44. doi: 10.4236/jamp.2017.51006.

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