Liu, XiangJia, BaoguoGensler, ScottErbe, LynnPeterson, Allan2021-08-272021-08-272020-01-10Liu, X., Jia, B., Gensler, S., Erbe, L., & Peterson, A. (2020). Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions. <i>Electronic Journal of Differential Equations, 2020</i>(04), pp. 1-19.1072-6691https://hdl.handle.net/10877/14484This article studies a boundary value problem for a nonlinear Caputo nabla fractional difference equation. We obtain quadratic convergence results for this equation using the generalized quasi-linearization method. Further, we obtain the convergence of the sequences is potentially improved by the Gauss-Seidel method. A numerical example illustrates our main results.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalCaputo nabla fractional difference equationUpper and lower solutionGeneralized quasi-linearization methodGauss-Seidel methodArticle