Authors : Yong Faezah Rahim, Mohamed Suleiman and Zarina Bibi Ibrahim
Abstract: Differential Algebraic Equations (DAEs) are regarded as stiff Ordinary Differential Equations (ODEs), therefore, they are solved using implicit method such as Backward Differential Formula (BDF) type of method and require the use of Newton iteration which usually requires a lot of computational effort. However, not all of the ODEs in the DAE system are stiff. In this study, we describe a new technique for solving index-1 semi explicit system of DAE where the ODEs are treated as non-stiff at the start of the integration and putting the non-stiff ODE’s into the stiff subsystem should instability occurs. Adams type of method is used to solve the non-stiff part and BDF method for the stiff part. This strategy is shown to be competitive in terms of computational effort and accuracy. Some numerical experiments are presented to illustrate the effectiveness.
Yong Faezah Rahim, Mohamed Suleiman and Zarina Bibi Ibrahim, 2019. Solving Index-1 Semi Explicit System of Differential Algebraic Equations by Mix-Multistep Method. Journal of Engineering and Applied Sciences, 14: 9538-9543.