6533b872fe1ef96bd12d414c

RESEARCH PRODUCT

Method of Lines and Finite Difference Schemes with Exact Spectrum for Solving Some Linear Problems of Mathematical Physics

Aigars GedroicsHarijs KalisSergejs Rogovs

subject

DiscretizationMathematical analysisMethod of linesSpectrum (functional analysis)Finite difference methodFinite differencePeriodic boundary conditionsFinite difference coefficientBoundary value problemMathematicsMathematical physics

description

In this paper linear initial-boundary-value problems of mathematical physics with different type boundary conditions BCs and periodic boundary conditions PBCs are studied. The finite difference scheme FDS and the finite difference scheme with exact spectrum FDSES are used for the space discretization. The solution in the time is obtained analytically and numerically, using the method of lines and continuous and discrete Fourier methods.

yearjournalcountryeditionlanguage
2013-01-01
https://doi.org/10.1007/978-3-642-41515-9_37