P. Tewari et Gupta Us",sriniwas, NUMERICAL-SOLUTION OF A PHASE-BOUNDARY PROBLEM USING FOURIER-SERIES, National Academy Science Letters, 21(5-6), 1998, pp. 157-164
The determination of phase boundary due to perturbation in basal heat
flux and plume temperature has been discussed for a one-dimensional li
thosphere thinning problem. The nonlinear problem is solved using a Fo
urier series method and stiffness arising in the system is removed by
Melamed method. Various heat flux are chosen to demonstrate the effect
on the moving front with and without plume temperature and time taken
by the moving phase boundary is calculated for different cases of hea
t variation.