‘Shooting method' for singular perturbation problems arising in chemical reactor theory

References

• O'Malley , R.E. 1974 . Introduction to singular perturbations , New York : Academic Press .
   Google Scholar
• Baxley , J.V. 1977 . On singular perturbation of nonlinear two-point boundary value problems . Czechoslovak Mathematical Journal , 27 ( 102 ) : 363 – 377 .
   Google Scholar
• Cohen , D.S. 1972 . Multiple solutions of singular perturbation problems . SIAMJ. Math. Anal. , 3 : 72 – 82 .
   Google Scholar
• Cohen , D.S. 1973 . Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory . SI AM J. Math. Anal. , 20 : 1 – 13 .
   Web of Science ®Google Scholar
• Kadalbajoo , M.K. and Reddy , Y.N. 1989 . Asymptotic and numerical analysis of singular perturbation problems: A survey . Appl. Math. Comput. , 30 : 223 – 259 .
   Web of Science ®Google Scholar
• Roberts , S.M. 1979 . A boundary value technique for singular perturbation problems . J. Math. Anal. Apply. , 87 : 489 – 508 .
   Web of Science ®Google Scholar
• Jayakumar , J. and Ramanujam , N. 1994 . A numerical method for singular perturbation problems arising in chemical reactor theory . Comput. Math. Applic , 27 ( 5 ) : 83 – 99 .
   Web of Science ®Google Scholar
• Doolen , E.P. , Miller , J.J.H. and Schilders , W.H.A. 1980 . Uniform numerical methods for problems with initial and boundary layers , Dublin, , Ireland : Boole Press .
   Google Scholar
• Vercelj , V. , Adzic , N. and Uzelac , Z. 1991 . A numerical-asymptotic solution for singular perturbation problems . Intern. J. Computer Math. , 39 : 229 – 238 .
   Web of Science ®Google Scholar
• Ramanujam , N. and Srivastava , U.N. 1980 . Singularly perturbed initial value problems for problems for nonlinear differential system . Indian J. Pure Appl. Math. , 11 : 98 – 113 .
   Web of Science ®Google Scholar
• Krishnamurthy , E.V. and Sen , S.K. 1986 . Numerical Algorithms , New Delhi : Affiliated East West Press .
   Google Scholar
• Chang , K W. and Howes , F.A. 1984 . Nonlinear singular perturbation phenomena: Theory and Applications , New York : Springer Verlag .
   Google Scholar
• O'Malley , R.E. 1991 . Singular perturbation methods for ordinary differential equations , New York : Springer Verlag .
   Google Scholar
• Hemker , P.W. 1977 . A numerical study of stiff two-point boundary value problems , Amsterdam, , Holland : Mathematics Centre .
   Google Scholar
• Dorr , F.W. , Parter , S.V. and Shampine , L.F. 1973 . Application of the maximum principle to singular perturbation problems . SIAM Review , 15 ( 1 ) : 43 – 88 .
   Web of Science ®Google Scholar