Hybrid collocation methods for eigenvalue problem of a compact integral operator with weakly singular kernel

Bijaya Laxmi Panigrahi

Applied Mathematics and Computation, 2018, vol. 328, issue C, 353-364

Abstract: In this paper, we consider the hybrid collocation methods to solve the eigenvalue problem of a compact integral operator with weakly singular kernels of algebraic and logarithmic type. We obtain the global convergence rates for eigenvalues, the gap between the spectral subspaces and iterated eigenvectors. The numerical examples are presented to verify the theoretical estimates and also shown that this method is computationally useful in comparison to other methods.

Keywords: Eigenvalue problem; Weakly singular kernel; Hybrid collocation methods; Convergence rates (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:328:y:2018:i:c:p:353-364

DOI: 10.1016/j.amc.2018.01.058

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