Čiegis, Raimondas On the difference schemes for problems with nonlocal boundary conditions. (English) Zbl 0904.65083 Informatica, Vilnius 2, No. 2, 155-170 (1991). Summary: This paper is devoted to the construction and investigation of difference schemes for the solution of one-dimensional parabolic problems with non-classical boundary conditions. The stability of schemes and the convergence of a numerical solution is proved in the norms \(L_1\) and \(C\). Cited in 11 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35K15 Initial value problems for second-order parabolic equations 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs Keywords:nonlocal boundary conditions; difference schemes; parabolic problems; stability; convergence PDFBibTeX XMLCite \textit{R. Čiegis}, Informatica, Vilnius 2, No. 2, 155--170 (1991; Zbl 0904.65083)