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Abstract
This paper is concerned with the stability of extended block boundary value methods (B2VMs) for the linear neutral delay integro-differential-algebraic equations (NDIDAEs) and the linear neutral delay integro-differential equations (NDIDEs). It is proved that every A-stable B2VM can preserve the asymptotic stability of the exact solution of NDIDAEs under some certain conditions. A necessary and sufficient condition of the B2VMs to be asymptotically stable for NDIDEs is also obtained. A few numerical experiments confirm the expected results.
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