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Nonlinear 2-Point Boundary-Value Problems with Applications in Science and Engineering

R. Spall
Journal / Anthology

Mathematica in Education
Year: 1993
Volume: 2
Issue: 4
Page range: 15-18

Many important problems in science and engineering are governed by ordinary differential equations with conditions involving values of the solution and/or its derivative at two (or more) points. Usually, the independent variable is a space variable, and one is interested in the solution between the two end points. If the differential equation is linear (and has a known general solution), the boundary conditions may easily be applied to determine the associated constants. However, for many problems of interest the governing differential equations are nonlinear and one must often resort to numerical methods for a solutions.

*Mathematics > Calculus and Analysis > Differential Equations
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