شماره ركورد كنفرانس :
4819
عنوان مقاله :
An Extended Version of Adomian Decomposition Method for solving ODEs in the Presence of Interval Uncertainties
عنوان به زبان ديگر :
An Extended Version of Adomian Decomposition Method for solving ODEs in the Presence of Interval Uncertainties
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
كليدواژه :
Interval Analysis , Adomian decomposition method , ODEs , interval uncertainty.
عنوان كنفرانس :
سومين همايش بين المللي تركيبيات، رمزنگاري و محاسبات
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.
