Theses & Dissertations

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https://hdl.handle.net/20.500.14170/2002

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Shooting-euler method for two-point fuzzy boundry value problems

(Universiti Malaysia Perlis (UniMAP), 2016)
Farhah Athirah Musli

Differential equation plays an important role in modeling of real world problems. However, many real world problems involved are very difficult to obtain clear and exact model. Therefore, differential equation with fuzzy set is essential to provide better understanding. In this study, a two-point fuzzy boundary value problem (FBVP) is considered and solved numerically by using the shooting method. First, the FBVP is interpreted under the concept of generalized differentiability and then followed by reducing it into parametric forms, which fmally obtained four different cases. For each case, the shooting method is used to construct the general procedure of obtaining solutions. Then, Euler method is used to approximate the fmal solutions. A numerical example is provided in order to show the application of the proposed procedures. All numerical simulations are executed by using MA TLAB. From numerical results, it is clear that the approximate solutions obtained by using the proposed procedures are slightly different compared to analytical solutions obtained by using Adomian decomposition method (ADM). Since the values close to each other, thus it can be concluded that the proposed procedure is applicable to solve any two-point FBVP under the concept of generalized differentiability.

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