A method of solving one class of singularly perturbed boundary value problems
โ Scribed by A.L. Zheleznyak; V.R. Kogan
- Publisher
- Elsevier Science
- Year
- 1987
- Weight
- 272 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0041-5553
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## Abstract This work deals with the construction of difference schemes for the numerical solution of singularly perturbed boundary value problems, which appear while solving heat transfer equations with spherical symmetry. The projective version of integral interpolation (PVIIM) method is used. De
A method is proposed to solve fixed end-point, linear optimal control problems with quadratic cost and singularly perturbed state. After translating the problem into a two-point boundary value problem, we choose two points t1, t2 E [ t o , tf] and let 7 = ( t -~o ) / E and u = ( t ft)/e. The ~s c a