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 $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ (1) subject to the boundary conditions $$u(0) = a,u(X) = b$$ (2) .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Mathematical Notes of the Academy of Sciences of the USSR
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.