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Numerical solution of quadratic boundary value problems

✍ Scribed by R. Vulanović


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
741 KB
Volume
20
Category
Article
ISSN
0895-7177

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✦ Synopsis


new finite-difference scheme for both singularly perturbed and unperturbed quadratic boundary value problems is proposed, and its stability and convergence analyzed. Numerical results are given for some application problems.


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Multipoint boundary value problems (MPBVP's) for ordinary differential equations arise naturally in technical applications. For a given dynamic system with n degrees of freedom, there may be available exactly n states observed at n different times. A mathematical description of such a system results