References
- Crank , J. ( 1974 ) Finite-difference Methods . Moving Boundary Problems in Heat Flow and Diffusion , 192 – 207 .
- Crank , J. ( 1957 ) Two Methods for the Numerical Solution of Moving-Boundary Problems in Diffusion and Heat Flow . Quart. Journ. Mech, and Applied Math. , 10 , 220 – 31 .
- Crank , J. and Gupta , R. S. ( 1972 ) A Method for Solving Moving-Boundary Problems in Heat Flow using Cubic Splines or Polynomials . J. Inst. Maths Applies , 10 , 296 – 304 .
- Chen , Y. , Delichatsios , M. A. and Motevalli , V. ( 1993 ) Material Pyrolysis Proberties, Part I: An Integral Model for One-Dimensional Transient Pyrolysis of Charring and Non-Charring Materials . Combust. Sci. and Tech. , 88 , 309 – 28 .
- Crank , J. and Phahle , R. D. ( 1973 ) Melting Ice by the Isotherm Migration Method . J. Inst. Maths. Applies , 10 , 12 – 14 .
- Mennig , J. and Ozisik , M. N. ( 1985 ) Coupled integral equation approach for solving melting or solidification . Int. J. Heat Mass Transfer , 28 , 1481 – 1485 .
- Gupta , R. S. and Kumar , D. ( 1981 ) Variable Time Step Methods for One-dimensional Stefan problem with mixed boundary condition . Int. J. Heat Mass Transfer , 24 , 251 – 59 .
- Andrews , J. G. and Atthey , D. R. ( 1975 ) On the Motion of an Intensely Heated Evaporating Boundary . J. Inst. Maths Applies , 15 , 59 – 72 .
- Leung , C. H. , Staggs , J. E. J. , Brindley , J. and Mclntosh , A. C. ( 1996 ) Modeling of a One Dimensional Ablation Process with Char Formation . Combust. Sci. and Tech. , 119 , 301 – 329 .
- Carslaw , H. S. and Jaeger , J. C. ( 1947 ) Conduction of Heat in Solids 1st edition . Clarendon Press , Oxford , Chapter 3 .
- Crank , J. ( 1984 ) Free and Moving boundary problems. 1st edition , Clarendon Press , Oxford , Chapter 4 .
- Smith , G. D. ( 1985 ) Numerical Solution of Partial Differential Equations: Finite Difference Methods. 3rd edition , Clarendon Press , Oxford , p. 29 .
- Drysdale , D. ( 1985 ) An Introduction to Fire Dynamics. 1st edition , John Wiley and Sons ( New York ) , p. 4 .
- Gupta , V. and Srinivasan , J. ( 1979 ) Heat and Mass Transfer. 2nd edition , McGraw-Hill , Appendix A .
- Landau , H. G. ( 1950 ) Heat Conduction in a Melting Solid . Quarterly ofAppl. Maths. , 8 , 81 – 94 .
- Chen , Y. , Delichatsios , M. A. and Motevalli , V. ( 1995 ) Material Pyrolysis Properties, Part II: Methodology for the Derivation of Pyrolysis Properties for Charring Materials . Combust. Sci. and Tech. , 104 , 401 – 25 .