Approximate solution of boundary value problems on infinite intervals by collocation methods

Schmeiser, Christian

doi:10.1090/S0025-5718-1986-0829620-8

Approximate solution of boundary value problems on infinite intervals by collocation methods
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Math. Comp. 46 (1986), 479-490 Request permission

Abstract:

The numerical solution of boundary value problems for ordinary differential equations on infinite intervals is considered. The infinite interval is cut at a finite, large enough point and additional boundary conditions are posed there. For the solution of the resulting problem, A-stable symmetric collocation methods are employed. Using the behavior of the solution of the "infinite" problem, meshes are defined which avoid an unreasonably high number of meshpoints. Stability and convergence of the resulting schemes are shown.

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