Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation

Joint Authors

Nouriani, H.
Ezzati, R.

Source

Advances in Fuzzy Systems

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-12-02

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

In this study, at first, we propose a new approach based on the two-dimensional fuzzy Lagrange interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE).

Then, we prove convergence analysis and numerical stability analysis for the proposed numerical algorithm by two theorems.

Finally, by some examples, we show the efficiency of the proposed method.

American Psychological Association (APA)

Nouriani, H.& Ezzati, R.. 2018. Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation. Advances in Fuzzy Systems،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-986267

Modern Language Association (MLA)

Nouriani, H.& Ezzati, R.. Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation. Advances in Fuzzy Systems No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-986267

American Medical Association (AMA)

Nouriani, H.& Ezzati, R.. Numerical Solution of Two-Dimensional Linear Fuzzy Fredholm Integral Equations by the Fuzzy Lagrange Interpolation. Advances in Fuzzy Systems. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-986267

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-986267