Multi-scale orthogonal basis method for nonlinear fractional equations with fractional integral boundary value conditions

Wei Jiang, Zhong Chen, Ning Hu, Haiyang Song and Zhaohong Yang

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

Abstract: In this paper, we investigate the multi-scale orthogonal basis method for fractional integral boundary value problems. We apply the Newton iteration method to linearize the nonlinear problems and employees the idea of collocation method to determine the coefficients of multi-scale orthogonal basis, then the approximation solution is obtained. The error estimation and stable analysis are presented in detailed. The final numerical experiments verify that the accuracy of our method.

Keywords: Caputo derivative; Multi-scale orthogonal basis; Newton iteration method; ε-approximate solution; Fractional integral boundary value conditions (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:s009630032030120x

DOI: 10.1016/j.amc.2020.125151

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