UNIQUE SOLVABILITY OF NUMERICAL METHODS FOR STIFF DELAY-INTEGRO-DIFFERENTIAL EQUATIONS

作者：Zhang Chengjian; Lv Peng

来源：Journal of Integral Equations and Applications, 2010, 22(4): 631-645.

DOI：10.1216/JIE-2010-22-4-631

• Unique solvability
• Extended general linear methods
• Stiff delay-integro-differential equations

This paper deals with the unique solvability of numerical methods for stiff delay-integro-differential equations (DIDEs). Several unique solvability conditions of the extended general linear methods for DIDEs are derived. The conclusions obtained are applied to some common numerical methods such as the extended linear multistep methods and the extended Runge-Kutta methods. In the end, concrete examples illustrate the utility of the theory.

• 出版日期2010
• 单位华中科技大学