iftacosmasseyacnz seminar announcement numerical determination critical conditions thermal ignition weiwei luo phd candiate iims 2pm friday 7th march iims lab 1 determination ignition thermal explosion oxidizing porous body material described dimensionless reactiondiffusion equation bounded region critically reexamined modern perspective using numerical methodologies first classic stationary model revisited establish proper reference frame steadystate solution space demonstrated resulting nonlinear twopoint boundary value problem reexpressed initial value problem system first order differential equations may readily solved using standard algorithms numerical procedure implemented thoroughly validated previous computational results based sophisticated path following techniques next transient nonstationary model attacked full nonlinear form reactiondiffusion equation including generalized convective boundary condition discretized expressed system linear algebraic equations numerical methodology implemented computer algorithm validation computations carried prelude broad ranging evaluation assembly problem identification watershed critical initial temperature conditions thermal ignition numerical methodology used basis studying relationship shape critical initial temperature distribution corresponding spatial moments energy content integral attempt forge fundamental conjecture governing relation finally effects dynamic boundary conditions classic storage problem investigated groundwork laid development approximate solution methodology based adaptation standard stationary model wed 06 aug 2008 163007 1300 seminar announcement