A compact sixth-order scheme with explicit Euler time stepping is applied to Sobolev-type equations, showing sixth-order spatial convergence numerically, but its stability proof is flawed.
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Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
A compact sixth-order scheme with explicit Euler time stepping is applied to Sobolev-type equations, showing sixth-order spatial convergence numerically, but its stability proof is flawed.