Shooting and embedding for two-point boundary value problems

DOI10.1016/0022-247X(71)90042-4zbMath0249.34009MaRDI QIDQ2556629

Herbert B. Keller

Publication date: 1971

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Numerical analysis in abstract spaces (65J99)

Related Items

The extended continuation method and invariant imbedding, Finding periodic solutions of ordinary differential equations via homotopy method, Back-and-forth shooting method for solving two-point boundary-value problems, Finding periodic solutions of ordinary differential equations via homotopy method, A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems, Interval length continuation method for solving two-point boundary-value problems, A method of parameter differentiation applied to flow in porous annuli, The numerical solution of multipoint boundary value problems, Numerical solution of nonlinear equations by one-parameter imbedding methods

Cites Work

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• Newton's method under mild differentiability conditions
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• On a General Theory of Characteristics and the Method of Invariant Imbedding