Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems

Guangwang Su, Liang Lu, Bo Tang and Zhenhai Liu

Applied Mathematics and Computation, 2020, vol. 378, issue C

Abstract: In this work, we deal with the quasilinearization technique for a class of nonlinear Riemann-Liouville fractional-order two-point boundary value problems. Using quasilinearization technique, we construct a monotone sequence of approximate solutions which has quadratic convergence to the unique solution of the original problem, and establish the corresponding convergence estimates. Moreover, the performance of the technique is examined through a numerical example, which shows that our regularization method is available and stable.

Keywords: Boundary value problem; Quasilinearization technique; Quadratic convergence (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301685

DOI: 10.1016/j.amc.2020.125199

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