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Convergence of a finite-difference scheme for weakly-elliptic equations. (English) Zbl 0840.65106

Summary: We study the convergence of a finite difference scheme approximating a boundary value problem for a third-order weakly elliptic equation with variable coefficients.

MSC:

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
35J40 Boundary value problems for higher-order elliptic equations