Title :
Shooting method for fuzzy two-point boundary value problems
Author :
Bede, Barnabas ; Rudas, Imre J.
Author_Institution :
Dept. of Math., DigiPen Inst. of Technol., Redmond, WA, USA
Abstract :
The present paper is intended to move one step forward regarding research in the area of two-point boundary value problems for fuzzy differential equations. We study the proposed problem first from theoretical, then from practical points of view. From the theoretical point of view, we prove an existence theorem of a solution inferred from a related fuzzy integral equation. From the practical point of view, we propose a shooting algorithm for numerically solving fuzzy two-point boundary value problems as for example a fuzzy elastica problem.
Keywords :
boundary-value problems; differential equations; fuzzy systems; integral equations; fuzzy differential equation; fuzzy elastica problem; fuzzy integral equation; fuzzy two point boundary value problems; one step forward; shooting algorithm; shooting method; Boundary value problems; Equations; Fuzzy sets; Green function; Integral equations; Switches;
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2012 Annual Meeting of the North American
Conference_Location :
Berkeley, CA
Print_ISBN :
978-1-4673-2336-9
Electronic_ISBN :
pending
DOI :
10.1109/NAFIPS.2012.6290986