TY - JOUR
T1 - New, Fast Numerical Method for Solving Two-Point Boundary-Value Problems
AU - Holsapple, Raymond
AU - Venkataraman, Ram
AU - Doman, David
PY - 2004
Y1 - 2004
N2 - A numerical method, modified simple-shooting method (MSSM), to solve two-point boundary-value problem (TPBVP) was presented. The method include favourable aspects of the short-shooting method (SSM) and multiple-shooting method (MSM). A comparison of computation time of MSSM, MSM, collocation methods (CM), and finite difference methods (FDM) was illustrated. It was observed that the convergence of the MSSM was proved under mild conditions on the TPBVP. The solutions of MSSM were resulted in a trajectory which satisfied the system differential equations.
AB - A numerical method, modified simple-shooting method (MSSM), to solve two-point boundary-value problem (TPBVP) was presented. The method include favourable aspects of the short-shooting method (SSM) and multiple-shooting method (MSM). A comparison of computation time of MSSM, MSM, collocation methods (CM), and finite difference methods (FDM) was illustrated. It was observed that the convergence of the MSSM was proved under mild conditions on the TPBVP. The solutions of MSSM were resulted in a trajectory which satisfied the system differential equations.
UR - http://www.scopus.com/inward/record.url?scp=1842554869&partnerID=8YFLogxK
U2 - 10.2514/1.1329
DO - 10.2514/1.1329
M3 - Article
AN - SCOPUS:1842554869
SN - 0731-5090
VL - 27
SP - 301
EP - 304
JO - Journal of Guidance, Control, and Dynamics
JF - Journal of Guidance, Control, and Dynamics
IS - 2
ER -