Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Numerical solution of differential and integral equations

Use of a method of a local collocation for the decision of regional problems(tasks) with a boundary layer

Molorodov Y.I.

Institute of Computational Technologies SB RAS (Novosibirsk)

On base of the method of a local collocation to offer the algorithm of the high order to aproximations O(h^n), where n - a number of the collocations nodes on final element, for decision of the marginal problems for ODE with a boundary layer. In a basis of the algorithm lies the way of the building of the net adaptable to decision of the problem on spatial variable. At criterion of the building of the net is an even partition certain monotonous increasing scalar function,built on decision or its derived and principle equal distribution local inaccuracy.

Note. Abstracts are published in author's edition

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