M-matrices and convergence of finite difference scheme for parabolic equation with integral boundary condition
Abstract
In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered. The proof is based on the properties of M-matrices, not requiring the symmetry or diagonal predominance of difference problem. The main presumption is that all the eigenvalues of the corresponding difference problem with nonlocal conditions are positive.
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finite difference method, nonlocal boundary condition, convergence, M-matricesHow to Cite
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Copyright (c) 2020 The Author(s). Published by Vilnius Gediminas Technical University.
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