M-MATRICES AND CONVERGENCE OF FINITE DIFFERENCE SCHEME FOR PARABOLIC EQUATION WITH INTEGRAL BOUNDARY CONDITION
Keyword(s):
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.
2009 ◽
Vol 231
(2)
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pp. 715-724
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2017 ◽
Vol 57
(4)
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pp. 468-478
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2002 ◽
Vol 7
(1)
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pp. 93-104
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Keyword(s):
Keyword(s):