# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
A nonlinear shooting method for two-point boundary value problems. (English) Zbl 0999.65077
Summary: We study a new nonlinear shooting method for solving two-point boundary value problems and show numerical experiments with various velocity conditions. We discuss and analyze the numerical solutions which are obtained by the shooting method.

##### MSC:
 65L10 Boundary value problems for ODE (numerical methods) 34B15 Nonlinear boundary value problems for ODE
Full Text:
##### References:
 [1] Bailey, P. B.; Shampine, L. F.; Waltman, P. E.: Nonlinear two point boundary value problems. (1968) · Zbl 0169.10502 [2] Roberts, S. M.; Shipman, J. S.: Two point boundary value problems: shooting methods. (1972) · Zbl 0239.65061 [3] Burden, R. L.; Faires, J. D.: Numerical analysis. (1993) · Zbl 0788.65001 [4] Greenspan, D.; Casulli, V.: Numerical analysis for applied mathematics, science, and engineering. (1988) · Zbl 0658.65001 [5] Pohozaev, S. T.: The Dirichlet problem for the equation ${\Delta}$u = u2. Soviet math. 1, 1143-1146 (1960) [6] Collatz, L.: Third edition the numerical treatment of differential equations. The numerical treatment of differential equations (1960) · Zbl 0086.32601 [7] Keller, H. B.: Numerical methods for two point boundary value problems. (1968) · Zbl 0172.19503 [8] Nagle, R. K.; Saff, E. B.: Fundamentals of differential equations and boundary value problems. (1993) · Zbl 0773.34003 [9] Stakgold, I.: Green’s functions and boundary value problems. (1979) · Zbl 0421.34027