References
- Acker , A. and Walter , W. 1978 . On the global existence of solutions of parabolic differential equations with a singular nonlinear term . Nonlinear Anal , 2 : 499 – 505 .
- Chan , C.Y. 1993 . Computation of the critical domain for quenching in an elliptic plate . Neural Parallel Sci. Comput , 1 : 153 – 162 .
- Chan , C.Y. and Chen , C.S. 1989 . A numerical method for semilinear singular parabolic quenching problems . Quart. Appl. Math , 47 : 45 – 57 .
- Chan , C.Y. and Chen , C.S. 1996 . Method of fundamental solutions for multidimensional quenching problems . Proceedings of Dynamic Systems and Applications , 2 : 115 – 121 .
- Chan , C.Y. and Ke , L. 1994 . Parabolic quenching for nonsmooth convex domains . J. Math. Anal. Appl , 186 : 52 – 65 .
- Chan , C.Y. and Kwong , M.K. 1988 . Quenching phenomena for singular nonlinear parabolic equations . Nonlinear Anal , 12 : 1377 – 1383 .
- Gilbarg , D. and Trudinger , N.S. 1977 . Elliptic Partial Differential Equations of Second Order .
- Kawarada , H. 1975 . On solutions of initial boundary problem for ut=uxx+1/(1-u) . Publ. Res. Inst. Math. Sci , 10 : 729 – 736 .
- Levine , H.A. and Montgomery , J.T. 1980 . The quenching of solutions of some nonlinear parabolic equations . SIAM J. Math. Analysis , 11 : 842 – 847 .
- Mooney , J.W. 1996 . An implicit algorithm for iterating to quenching times in degenerate nonlinear parabolic problems . Dynamic Systems and Applications , 5 : 539 – 552 .
- Mooney , J.W. 1998 . An implicit Douglas algorithm for a nonlinear singular quenching problem . Applied Mathematics Letters , 11 : 31 – 36 .
- Sheng , Q. and Khaliq , A.Q.M. 1999 . A compound adaptive approach to degenerate nonlinear quenching problems . Numerical Methods for Partial Differential Equations , 15 : 29 – 47 .
- Walter , W. 1976 . Parabolic differential equations with a singular nonlinear term . Funkcialaj Ekvacio , 19 : 271 – 277 .