Analytical and numerical stability of neutral delay integro-differential equations and neutral delay partial differential

作者：Wu, Shifeng^*; Gan, Siqing

来源：Computers & Mathematics with Applications, 2008, 55(11): 2426-2443.

DOI：10.1016/j.camwa.2007.08.045

• neutral delay integro-differential equations
• neutral delay partial differential equations
• delay-dependent stability
• trapezium rule
• characteristic equations

This paper is concerned with the analytical and numerical stability of neutral delay integro-differential equations (NDIDEs) and neutral delay partial differential equations (NDPDEs). We study the delay-dependent stability of the real coefficient linear test equations for NDIDEs. Furthermore, we prove that the trapezium rule can preserve the delay-dependent stability of the test equations considered. We also discuss the delay-dependent stability of the continuous problems, the semi-discrete problems and the fully discrete problems of linear NDPDEs. Some numerical experiments are given to confirm the theoretical results.

• 出版日期2008-6
• 单位中南大学; 广东技术师范大学