Ronnawat Phansuwan. Stability analysis of Q-methods for linear integro-differential equationswith delay. Master's Degree(Applied Mathematics). King Mongkut's University of Technology North Bangkok. Central Library. : King Mongkut's University of Technology North Bangkok, 2014.
Stability analysis of Q-methods for linear integro-differential equationswith delay
Abstract:
In thisthesis, the -method, a numerical discretization method, for a class of linear delay integro-differential equation has been analysed. The aim is to investigate sufficient conditions of numerical step-size for numerical schemes to be asymptotically stable. The results show that, under the sufficientconditions, the numerical solutions of linear delay integro-differential equation are consistent with the analytical results.