Numerical asymptotic stability for the integro-differential equations with the multi-term kernels

Da Xu

Applied Mathematics and Computation, 2017, vol. 309, issue C, 107-132

Abstract: We prove that a second order backward difference semi-discretization approximation for the integro-differential equations with the multi-term kernels preserves the weighted asymptotic integrabilities of continuous solutions. The method of proof extend and simulate numerically those introduced by Hannsgen and Wheeler, relying on deep frequency domain techniques.

Keywords: The classes of integro-differential equations; Completely monotonic kernel; The second order backward difference type methods; Convolution quadrature; Weighted l1 asymptotic stability (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:309:y:2017:i:c:p:107-132

DOI: 10.1016/j.amc.2017.03.046

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