Numerical solution of reactive-diffusive systems

References

• Ramos , J. I. 1983 . Numerical studies of laminar flame propagation in spherical bombs . AIAA J. , 21 : 415 – 422 .
   Google Scholar
• Lee , D. N. and Ramos , J. I. 1983 . Application of the finite element method to one-dimensional flame propagation problems . AIAA J. , 21 : 262 – 269 .
   Google Scholar
• Ramos , J. I. 1983 . “ Numerical studies of one-dimensional unsteady flame propagation ” . In Scientific Computing: Applications of Mathematics and Computing to the Physical Sciences , Edited by: Stepleman , R. , Carver , M. , Peskin , R. , Ames , W. F. and Vichnevetsky , R. 291 – 299 . Amsterdam : North-Holland Pub. Company .
   Google Scholar
• Ramos , J. I. 1983 . “ A numerical study of one-dimensional enclosed flames ” . In Numerical Properties and Methodologies in Heat Transfer , Edited by: Shih , T. M. 529 – 546 . Washington, DC : Hemisphere Pub. Corp .
   Google Scholar
• Ramos , J. I. 1983 . A review of some numerical methods for reaction-diffusion equations . Math. Comp. Simul. , XXV : 538 – 548 .
   Web of Science ®Google Scholar
• Ramos , J. I. 1985 . Numerical solution of reactive-diffusive systems. Part I: Explicit Methods . Intern. J Computer Math. , 18 : 43 – 65 .
   Web of Science ®Google Scholar
• Lapidus , L. and Pinder , G. F. 1982 . Numerical Solution of Partial Differential Equations in Science and Engineering , New York : John Wiley and Sons .
   Google Scholar
• Carnahan , B. , Luther , H. A. and Wilkes , J. O. 1969 . Applied Numerical Methods , New York : John Wiley and Sons .
   Google Scholar
• Crank , J. and Nicolson , P. 1947 . A practical method for numerical evaluation of solution of partial differential equations of the heat conduction type . Proc. Camb. Phil. Soc. , 43 : 50 – 50 .
   Web of Science ®Google Scholar
• Lapidus , L. and Seinfeld , J. H. 1971 . Numerical Solution of Ordinary Differential Equations , New York : Academic Press .
   Google Scholar
• Ramos , J. I. 1985 . Development and application of an adaptive finite element method to reaction-diffusion equations . Int. J. Num. Meth. Fluids , 5 : 13 – 23 .
   Google Scholar
• Ramos J. I. Numerical solution of reactive-diffusive systems. Part 2: Methods of lines and implicit algorithms Report CO/84/5 Department of Mechanical Engineering, Carnegie-Mellon University Pittsburgh, PA, U.S.A. 1984
   Google Scholar