Time-spectral solution of initial-value problems – subdomain approach
2012 (English)In: American Journal of Computational Mathematics, ISSN 2161-1211, Vol. 2, no 2, 72-81 p.Article in journal (Refereed) Published
Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalized weighted residual method (GWRM), is a generalization of weighted residual methods to the time and parameter domains . A semi-analytical Chebyshev polynomial ansatz is employed, and the problem reduces to determine the coefficients of the ansatz from linear or nonlinear algebraic systems of equations. In order to avoid large memory storage and computational cost, it is preferable to subdivide the temporal and spatial domains into subdomains. Methods and examples of this article demonstrate how this can be achieved.
Place, publisher, year, edition, pages
Scientific Research Publishing, 2012. Vol. 2, no 2, 72-81 p.
initial-value problem, time-spectral, spectral method, subdomains, domain decomposition
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:kth:diva-91443DOI: 10.4236/ajcm.2012.22010OAI: oai:DiVA.org:kth-91443DiVA: diva2:510276
QC 201211272012-11-272012-03-152013-05-02Bibliographically approved