Pseudospectral method for semilinear partial functional differential equations

Opuscula Mathematica

Wojciech Czernous¹ 

[1] University of Gdansk, Institute of Mathematics, ul. Wita Stwosza 57, 80-952 Gdansk, Poland;

关键词: pseudospectral collocation;    CFS condition;    convergence;    error estimates;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2010.30.2.133

来源: DOAJ

【 摘 要 】

We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step \(\tau \) and the number \(N\) of collocation points. Stability statements and error estimates are written using continuous norms in weighted Jacobi spaces.

【 授权许可】

Unknown