A comparison of convergence acceleration schemes for eigenfunction expansions of partial differential equations

Abstract

Different possibilities for the enhancement of convergence rates in eigenfunction expansions are investigated in the realm of integral transform solutions for partial differential equations. A representative parabolic problem is chosen to illustrate two schemes and their combinations; a filtering technique and an integral balance approach. Numerical results are presented to confirm the relative merits in each proposed procedure.

Citation

Resende Almeida, A. and Machado Cotta, R. (1996), "A comparison of convergence acceleration schemes for eigenfunction expansions of partial differential equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 6 No. 6, pp. 85-97. https://doi.org/10.1108/09615539610131280