Method of lines for parabolic functional differential equations on cylindrical domains
Henryk Leszczyński , Milena Matusik
AbstractThe numerical method of lines is a technique for solving partial differential equations by discretising in all but one dimension. In this paper the solution of the approximate problem is extended outside the domain using the boundary condition. This leads to functional differential-algebraic equations. Sufficient conditions for the well-posedness, stability and convergence of the resulting method of lines are given.
|Journal series||Calcolo, ISSN 0008-0624, (A 25 pkt)|
|Publication size in sheets||0.75|
|Keywords in English||method of lines, functional differential-algebraic equations, Robin boundary conditions|
|License||Other; published final; ; with publication|
|Score|| = 25.0, ArticleFromJournal|
= 40.0, ArticleFromJournal
|Publication indicators||= 1; : 2017 = 1.226; : 2016 = 1.407 (2) - 2016=1.131 (5)|
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