an:00069159
Zbl 0758.65064
Ierley, Glenn; Spencer, Brian; Worthing, Rodney
Spectral methods in time for a class of parabolic partial differential equations
EN
J. Comput. Phys. 102, No. 1, 88-97 (1992).
00008774
1992
j
65M70 35K50
spectral methods; nonlinear parabolic equations; Fourier expansion; Chebyshev expansion
The authors propose a fully spectral solution for the equation \(u_ t+uu_ x+au_{xx}+bu_{xxx}+cu_{xxxx}=0\) using a Fourier expansion in \(x\) and a Chebyshev expansion in \(t\).
J.D.P.Donnelly (Oxford)