Quadratic spline collocation method for the time fractional subdiffusion equation

Wei-Hua Luo, Ting-Zhu Huang, Guo-Cheng Wu and Xian-Ming Gu

Applied Mathematics and Computation, 2016, vol. 276, issue C, 252-265

Abstract: In this paper, exploiting the quadratic spline collocation (QSC) method, we numerically solve the time fractional subdiffusion equation with Dirichelt boundary value conditions. The coefficient matrix of the discretized linear system is investigated in detail. Theoretical analyses and numerical examples demonstrate the proposed technique can enjoy the global error bound with O(τ3+h3) under the L∞ norm provided that the solution v(x, t) has four-order continual derivative with respects to x and t, and it can achieve the accuracy of O(τ4+h4) at collocation points, where τ, h are the step sizes in time and space, respectively.

Keywords: Quadratic spline collocation; Fractional subdiffusion equation; Optimal convergence (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:276:y:2016:i:c:p:252-265

DOI: 10.1016/j.amc.2015.12.020

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