An Extended Version of Adomian Decomposition Method for solving ODEs in the Presence of Interval Uncertainties

عنوان به زبان ديگر

پديدآورندگان

Shahrezaee Mohsen mshahrezaee@iust.ac.ir Department of Mathematics, Faculty of Science, University of Imam Hussein (AS), Tehran, Iran , Razmjooy Navid navid.razmjooy@hotmail.com Department of Electrical and Control Engineering, Tafresh University, Tafresh, Iran

تعداد صفحه

6

كليدواژه

Interval Analysis , Adomian decomposition method , ODEs , interval uncertainty.

سال انتشار

1397

عنوان كنفرانس

سومين همايش بين المللي تركيبيات، رمزنگاري و محاسبات

زبان مدرك

انگليسي

چكيده فارسي

A newly improved extension of the Adomian decomposition method is presented for ODE problems with interval uncertainties. Interval analysis is employed for analyzing the uncertainties in ODE systems including uncertain-but-bounded parameters with lower and upper bounds of uncertainties. Simulation results are applied to a case study and the results are compared with interval Euler and Taylor methods. Final results show that the proposed methodology has a good accuracy to find the proper interval and to effectively handle the wrapping effect to sharpen the range of non-monotonic interval.

چكيده لاتين

A newly improved extension of the Adomian decomposition method is presented for ODE problems with interval uncertainties. Interval analysis is employed for analyzing the uncertainties in ODE systems including uncertain-but-bounded parameters with lower and upper bounds of uncertainties. Simulation results are applied to a case study and the results are compared with interval Euler and Taylor methods. Final results show that the proposed methodology has a good accuracy to find the proper interval and to effectively handle the wrapping effect to sharpen the range of non-monotonic interval.

كشور

ايران