Article information

2006 , Volume 11, ¹ 1, p.18-25

Semin L.G.

Collocation and least squares method for 2D heat conduction equation

The method based on combination of collocation method and least-squares technique for heat conduction equation is developed. It has a number of attractive features, such as easiness in specifying boundary conditions of different type, easiness of increasing approximation order, etc. Convergence of numerical solution to exact one is shown on sequence of grids on the test with exact solution being known, and convergence order is investigated. Formulae for acceleration of iterations convergence are given.

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Author(s):
Semin LeonidG.
PhD.
Position: Research Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS
Address: 630090, Russia, Novosibirsk, Institutskaya str., 4/1
E-mail: l_semin@ngs.ru


Bibliography link:
Semin L.G. Collocation and least squares method for 2D heat conduction equation // Computational technologies. 2006. V. 11. ¹ 1. P. 18-25
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