Boundary-Value Problems for Second-Order ODEs

  • Addolorata Marasco
  • Antonio Romano
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


All the previous chapters faced with solutions of a system of differential equations corresponding to initial data, that is, with initial-value problems. In this chapter, a different problem is considered, related to the following normal second-order differential equation:
$$ y'' = F(x,y,y'). $$
Instead of searching for the solution of Equation (9.1) corresponding to the initial data
$$ y(x_0 ) = y_0 ,y'(x_0 ) = y'_0 , $$
we are interested in the solution of Equation (9.1) satisfying the following boundary values:
$$ y(a) = y_a ,y(b) = y_b . $$


Finite Difference Method Algebraic System Nonlinear Algebraic System Infinite Solution Follow Input Data 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Addolorata Marasco
    • 1
  • Antonio Romano
    • 1
  1. 1.Department of MathematicsUniversity of NaplesNaplesItaly

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