Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers. (20th October 2013)

• Record Type: Journal Article
• Authors: Tapaswini, Smita; Chakraverty, S.
• Other Names: Dawson Christian W. Academic Editor.
• Is Part Of: Applied computational intelligence and soft computing. Volume 2013(2013)
• Publication Date: 2013-10-20
• Subjects: Computational intelligence -- Periodicals; Soft computing -- Periodicals; 006.305
• DOI: 10.1155/2013/764871
• Languages: English
• ISSNs: 1687-9724

Abstract

Abstract : Present paper proposes a new technique to solve uncertain beam equation using double parametric form of fuzzy numbers. Uncertainties appearing in the initial conditions are taken in terms of triangular fuzzy number. Using the single parametric form, the fuzzy beam equation is converted first to an interval-based fuzzy differential equation. Next, this differential equation is transformed to crisp form by applying double parametric form of fuzzy number. Finally, the same is solved by homotopy perturbation method (HPM) to obtain the uncertain responses subject to unit step and impulse loads. Obtained results are depicted in terms of plots to show the efficiency and powerfulness of the methodology.