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
The numerical solution of multipoint boundary value problems
β Scribed by Ravi P Agarwal
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 540 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0377-0427
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β¦ 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.
π SIMILAR VOLUMES
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.