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An impulsive approach for numerical investigation of hybrid fuzzy differential equations and intuitionistic treatment for fuzzy ordinary and partial differential equations

Kavikumar, Jacob and Mamat, Mustafa and Amir Hamzah, Nor Shamsidah and Ahmad, Noor 'Ani (2011) An impulsive approach for numerical investigation of hybrid fuzzy differential equations and intuitionistic treatment for fuzzy ordinary and partial differential equations. Other thesis, Universiti Tun Hussein Onn Malaysia.

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Abstract

The mathematical modeling of several real phenomena which involve impulsive differential equations usually encounters uncertainties and vagueness due to our partial knowledge to describe the behaviour of the whole system. The impulsive (resp.hybrid) method can result in improved numerical methods solving initial/boundary value problems, without using pre-as-signed discretisation point. Therefore, this research propose a method for computing the approximate solution by utilizing the existing results in impulsive (resp.hybrid) and fuzzy differential equation since the study of fuzzy differential equations forms a suitable setting for mathematical modeling of real problems whenever uncertainties or vagueness exists. In this research the numerical solutions are proposed because many impulsive differential equations cannot be solved analytically and numerically or their solving is complicated. The results are then compared through the examples.

Item Type: Thesis (Other)
Subjects: T Technology > T Technology (General)
Depositing User: Normajihan Abd. Rahman
Date Deposited: 14 Aug 2018 01:33
Last Modified: 14 Aug 2018 01:33
URI: http://eprints.uthm.edu.my/id/eprint/3848
Statistic Details: View Download Statistic

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