𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The numerical solution of multipoint boundary value problems

✍ Scribed by Ravi P Agarwal


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
540 KB
Volume
5
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


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 in an n-point BVP. The discretization of certain BVP's for partial differential equations over irregular domains with the method of lines also forms MPBVP.

In this paper we are concerned with finding numerical solutions of MPBVP's by converting these to equivalent initial value problems.


πŸ“œ SIMILAR VOLUMES


Solution of multipoint boundary value pr
✍ J. Kalat; P.N. Paraskevopoulos πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 415 KB

The problem of analysis qf linear time-varying systems with multipoint boundary conditions is studied. The solution is derived in terms of block-pulse functions. The proposed method has the distinct advantage over other techniques in that it reduces the problem to that qf solving linear algebraic eq

Numerical solution of quadratic boundary
✍ R. VulanoviΔ‡ πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 741 KB

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.