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A variational difference scheme for the one-dimensional diffusion equation (1975)

Fedorova, O. A.

Springer

Mathematical notes 17 (1975), S. 537-540

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ISSN: 1573-8876

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0〈 x〈 X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ .

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01442699

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