Numerical Solution of Impulsive Fuzzy Initial Value Problem by Modified Euler's Method

Dirbaz, M.; Dirbaz, F.

doi:10.5899/2016/jfsva-00280

Cited by 4 publications

(1 citation statement)

References 14 publications

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“…Recently, by introducing generalized Hukuhara difference (Allahviranloo et al 2015b;Bede and Stefanini 2013;Puri and Ralescu 1983;Stefanini 2010;Stefanini 2008) a new approach to solve fuzzy problems has been created. Dirbaz and Allahviranloo (2016) presented fuzzy modified Euler's method based on generalized Hukuhara difference for solving fuzzy impulsive problems Dirbaz and Allahviranloo 2016). There are some researches related to the subject of RBF (Baxter 1992;Bayona et al 2011;Chenoweth 2012;Fornberg and Flyer 2005;Haq et al 2011;Majdisova and Skala 2017;Sarra 2004;Shen 2009) for the fuzzy systems in (Mitra Communicated by Leonardo Tomazeli Duarte. and Basak 2001).…”

Section: Introductionmentioning

confidence: 99%

Fuzzy multiquadric radial basis functions for solving fuzzy partial differential equations

Dirbaz

Allahviranloo

2019

Comp. Appl. Math.

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In this paper, first we define the fuzzy multiquadric radial basis functions (FMQRBF). In the following, using the (FMQRBF) as the basis functions on the fuzzy interpolation expansion, we introduce the fuzzy multiquadric radial basis functions interpolation. Moreover, by considering (FMQRBF) and our obtained fuzzy method based on generalized Hukuhara difference (modified Euler's) (Dirbaz and Allahviranloo in Fuzzy Sets Syst 2016:1-24, 2016), we present an algorithm of the fuzzy meshless method of lines for solving fuzzy partial differential equations. Finally, by the proposed fuzzy method we solve some numerical examples and analyze the errors in details.

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