Abstract
This paper deals with the numerical approximation to a class of nonlinear hybrid system with distributed delay (HSDD). By combining block boundary value methods (BBVMs) and reducible quadrature rules based on the underlying boundary value methods (BVMs), a kind of extended BBVMs are proposed for solving nonlinear HSDD. Under some suitable conditions, an extended BBVM is proved to be uniquely solvable, globally stable and convergent of order p, where p is consistency order of the used underlying BVM. The presented numerical experiments further illustrate the obtained theoretical results and computational effectiveness of the extended BBVMs.
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