In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algorithm to solve a trajectory-prescribed path control problem and a model of simple pendulum. The numerical experiments show efficiency of the given techniques.
Karamali, G., & Shiri, B. (2018). Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum. Caspian Journal of Mathematical Sciences, 7(1), 1-15. doi: 10.22080/cjms.2017.1699
MLA
Gholamreza Karamali; Babak Shiri. "Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum". Caspian Journal of Mathematical Sciences, 7, 1, 2018, 1-15. doi: 10.22080/cjms.2017.1699
HARVARD
Karamali, G., Shiri, B. (2018). 'Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum', Caspian Journal of Mathematical Sciences, 7(1), pp. 1-15. doi: 10.22080/cjms.2017.1699
VANCOUVER
Karamali, G., Shiri, B. Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum. Caspian Journal of Mathematical Sciences, 2018; 7(1): 1-15. doi: 10.22080/cjms.2017.1699
)