Block boundary value methods for delay differential equation

• Autores: Chengjian Zhang, Hao Chen
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 9, 2010, págs. 915-923
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.05.001
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• Resumen

  • In this paper, a class of block boundary value methods (BBVMs) for the initial value problems of delay differential equations are suggested. It is proven under the classical Lipschitz condition that a BBVM is convergent of order p if it is consistent of order p. Several linear stability criteria for the BBVMs are derived. Numerical experiments further confirm the convergence and the effectiveness of the methods.