Pseudospectral method for semilinear partial functional differential equations | Zendy

W. Czernous | Zendy

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Pseudospectral method for semilinear partial functional differential equations

Author(s) -

W. Czernous

Publication year - 2010

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2010.30.2.133

Subject(s) - mathematics , collocation (remote sensing) , convergence (economics) , boundary value problem , type (biology) , partial differential equation , mathematical analysis , stability (learning theory) , initial value problem , collocation method , differential equation , ordinary differential equation , ecology , remote sensing , machine learning , geology , computer science , economics , biology , economic growth

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

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