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arXiv · 1406.2615

Shooting-Projection Method for Two-Point Boundary Value Problems

Stefan M. Filipov·Ivan D. Gospodinov·Istvan Farago
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Abstract

This paper presents a novel shooting method for solving two-point boundary value problems for second order ordinary differential equations. The method works as follows: first, a guess for the initial condition is made and an integration of the differential equation is performed to obtain an initial value problem solution; then, the end value of the solution is used in a simple iteration formula to correct the initial condition; the process is repeated until the second boundary condition is satisfied. The iteration formula is derived utilizing an auxiliary function that satisfies both boundary conditions and minimizes the H1 semi-norm of the difference between itself and the initial value problem solution.

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Stefan M. Filipov, Ivan D. Gospodinov, Istvan Farago. 2014-06-10. Shooting-Projection Method for Two-Point Boundary Value Problems. https://arxiv.org/abs/1406.2615

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