References
- Ames , W. F. and Adams , E. 1976 . Exact shooting and eigenparameter problems . Nonlinear Anal. Theory. Methods Appl. , 1 : 75 – 82 .
- Ames , W. F. and Ibragimov , N. H. 1978 . Utilization of Group Properties in Computation . IUTAM/ITU Symposium . 1978 . Novosibirsk
- Bluman , G. W. 1974 . Applications of the general similarity solution of the heat equation to boundary value problems . Quart. Appl. Math. , 31 : 403 – 415 .
- Milinazzo , F. and Bluman , G. W. 1975 . Numerical similarity solutions to Stefan problems . Z. Angew. Math. Mech. , 55 : 423 – 429 .
- Dresner , L. 1983 . “ Similarity solutions of non-linear partial differential equations ” . In Research Notes in Maths. , Vol. 88 , Pitman .
- Donato , A. 1987 . Similarity analysis and non-linear wave propagation . Int. J. Non-linear Mech. , 22 : 307 – 314 .
- Epperson , J. F. 1986 . Analysis and implementation of an oxygen absorption model . SIAM Rev. , 28 : 389 – 393 .
- Fazio , R. 1989 . Difference methods and group analysis of quasilinear-hyperbolic equations . Int. J. Comput. Math. , 28 : 151 – 160 .
- Fazio R. Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems to appear
- Fazio R. On the extension of a modified shooting method for elliptic problems in more than one dimension to appear
- Fazio R. Similarity and numerical analysis for two-point boundary value problems to appear
- Klamkin , M. S. 1962 . On the transformation of a class of boundary value problems into initial value problems for ordinary differential equations . SIAM Rev. , 4 : 204 – 210 .
- May , R. and Noye , J. 1984 . “ The numerical solution of ordinary differential equations: initial value problems ” . In Computational Techniques for Differential Equations , Edited by: Noye , J. 1 – 94 . Amsterdam : North-Holland .
- Na , T. Y. 1967 . Transforming boundary conditions to initial conditions for ordinary differential equations . SIAM Rev. , 9 : 204 – 210 .
- Na , T. Y. 1979 . Computational Methods in Engineering Boundary Value Problems , New York : Academic Press .
- Rice , J. R. 1983 . Numerical Methods, Software, and Applications , New York : McGraw-Hill .
- Shokin , J. Yu. 1983 . “ The method of differential approximation ” . Berlin : Springer-Verlag .
- Toepfer , K. 1912 . Grenzschiten in flussigkeiten mit kleiner reibung . Z. Math. Phys. , 60 : 397 – 398 .