%0 Journal Article %T Numerical study of the blow-up time of positive solutions of semilinear heat equations %A K. A. Adou %A K. A. Touré %A A. Coulibaly %J Far East J. Appl. Math. %D 2018 %V 4 %F Adou2018 %0 Journal Article %T Extinction for discretizations of some semilinear parabolic equations %A T. K. Boni %J C. R. Acad. Sci. Paris Sér. I Math. %D 2001 %V 333 %F Boni2001 %0 Journal Article %T Quenching time of solutions for some nonlinear parabolic equations with Dirichlet boundary condition and a potential %A T. K. Boni %A B. Y. Diby %J Ann. Math. Inform. %D 2008 %V 35 %F Boni2008 %0 Journal Article %T Parabolic problems with nonlinear absorptions and releases at the boundaries %A C. Y. Chan %A S. I. Yuen %J Appl. Math. Comput. %D 2001 %V 121 %F Chan2001 %0 Journal Article %T Numerical Blow-up for a Heat Equation with Nonlinear Boundary Conditions %A K. B. Edja %A K. A. Touré %A B. J.-C. Koua %J J. Math. Res. %D 2018 %V 10 %F Edja2018 %0 Journal Article %T On Solutions of Initial-Boundary Problem for $u_t=u_{xx}+\frac{1}{1-u}$ %A H. Kawarada %J Publ. RIMS, Kyoto Univ. %D 1975 %V 10 %F Kawarada1975 %0 Journal Article %T A quenching problem for the heat equation %A C. M. Krirk %A C. A. Roberts %J J. Integral Equations Appl. %D 2002 %V 14 %F Krirk2002 %0 Journal Article %T The Quenching of Solutions of Linear Parabolic and Hyperbolic Equations with Nonlinear Boundary Conditions %A H. A. Levine %J SIAM J. Math. Anal. %D 1983 %V 4 %F Levine1983 %0 Journal Article %T The quenching of solutions of some nonlinear parabolic equations %A H. A. Levine %A J. T. Montgomery %J SIAM J. Math. Anal. %D 1980 %V 11 %F Levine1980 %0 Journal Article %T Numerical Solution of Quenching Problems Using Mesh-Dependent Variable Temporal Steps %A K. W. Liang %A P. Lin %A R. C. E. Tan %J Appl. Numer. Math. %D 2007 %V 57 %F Liang2007 %0 Journal Article %T Numerical approximation of the blow-up time for a semilinear parabolic equation with nonlinear boundary equation %A T. M. Mathurin %A T. K. Augustin %A M. E. Patrice %J Far East J. Math. Sci. (FJMS) %D 2012 %V 60 %F Mathurin2012 %0 Journal Article %T Quenching for semidiscretizations of a heat equation with a singular boundary condition %A D. Nabongo %A T. K. Boni %J Asymptot. Anal. %D 2008 %V 59 %F Nabongo2008 %0 Journal Article %T Numerical blow-up time for a parabolic equation with nonlinear boundary conditions %A K. C. N'dri %A K. A. Touré %A G. Yoro %J Int. J. Numer. Methods Appl. %D 2018 %V 17 %F N'dri2018 %0 Journal Article %T Quenching behavior of a semilinear reaction-diffusion system with singular boundary condition %A B. Selçuk %J Turkish J. Math. %D 2016 %V 40 %F Selçuk2016 %0 Journal Article %T The quenching behavior of a semilinear heat equation with a singular boundary outflux %A B. Selçuk %A N. Ozalp %J Quart. Appl. Math. %D 2014 %V 72 %F Selçuk2014 %0 Journal Article %T Numerical analysis of quenching-Heat conduction in metallic materials %A M. G. Teixeira %A M. A. Rincon %A I.-S. Liu %J Appl. Math. Model. %D 2009 %V 33 %F Teixeira2009 %0 Journal Article %T The quenching behavior of a nonlinear parabolic equation with nonlinear boundary outflux %A Y. H. Zhi %A C. L. Mu %J Appl. Math. Comput. %D 2007 %V 184 %F Zhi2007