Advertisement

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)

Abstract

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:
$$ y'' = F(x,y,y'). $$
(9.1)
Instead of searching for the solution of Equation (9.1) corresponding to the initial data
$$ y(x_0 ) = y_0 ,y'(x_0 ) = y'_0 , $$
(9.2)
we are interested in the solution of Equation (9.1) satisfying the following boundary values:
$$ y(a) = y_a ,y(b) = y_b . $$
(9.3)

Keywords

Finite Difference Method Algebraic System Nonlinear Algebraic System Infinite Solution Follow Input Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations