Application of Triangular and Delta Basis Functions to Solve Linear Fredholm Fuzzy Integral Equation of the Second Kind

Mirzaee, Farshid; Paripour, Mahmoud; Yari, Mohammad Komak

doi:10.1007/s13369-014-1002-1

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…Recently, Mirzaee et al [13][14][15] have studied the numerical solutions of the Fredholm fuzzy integral equations. Since the homotopy analysis method is a powerful device for solving a wide variety of problems arising in many scientific applications, we will develop the numerical methods for the approximate solutions of linear and nonlinear Abel fuzzy integral equations.…”

Section: Introductionmentioning

confidence: 99%

Solving linear and nonlinear Abel fuzzy integral equations by homotopy analysis method

Mirzaee

Yari

Paripour

2015

Journal of Taibah University for Science

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The main purpose of this article is to present an approximation method for solving Abel fuzzy integral equation in the most general form. The proposed approach is based on homotopy analysis method. This method transforms linear and nonlinear Abel fuzzy integral equations into two crisp linear and nonlinear integral equations. The convergence analysis for the proposed method is also introduced. We give some numerical applications to show efficiency and accuracy of the method. All of the numerical computations have been performed on a computer with the aid of a program written in Matlab.

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Section: Introductionmentioning

confidence: 99%

Solving linear and nonlinear Abel fuzzy integral equations by homotopy analysis method

Mirzaee

Yari

Paripour

2015

Journal of Taibah University for Science

Self Cite

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show abstract

“…The fuzzy integral equation and its applications are studied in [8,1,2]. Basic definitions and results of fuzzy calculus which are required for this study such as fuzzy set, parametric form, metric, function, continuity, integration, etc are available in [1,9].…”

Section: Introductionmentioning

confidence: 99%