Numerical Calculations of Two-Point Boundary-Value Problems for Trajectory Problems.
Final rept. Jan-Dec 70,
SOUTHEASTERN MASSACHUSETTS UNIV NORTH DARTMOUTH
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Nonlinear two-point boundary-value problems are solved by introducing an artificial, time like independent variable, which transforms the original system into an initial-value, boundary-value problem. The resulting equations are written in quasilinear form and are approximated by a linear, implicit finite difference scheme in tridiagonal form. The asymptotic solution represents the solution of the original problem and has been found to be independent of the initial data. Both scalar equations of second order and systems of equations are considered. In the latter case the individual equations can be of first or second order. Author
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