Abstract
In this paper, we propose an iterative procedure based on the quadrature formula of Simpson to solve two-dimensional nonlinear Urysohn fuzzy integral equations (2DNUFIE). Moreover, the error estimation of the proposed method in terms of uniform and partial modulus of continuity is given. We extend in the context of using the modulus of continuity, the notion of numerical stability of the solution with respect to the first iteration. Finally, illustrative example is included in order to demonstrate the accuracy and the convergence of the proposed method.
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Acknowledgements
This research was partially supported by Fund FP17-FMI-008, Fund Scientific Research, University of Plovdiv Paisii Hilendarski.
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Georgieva, A., Pavlova, A., Enkov, S. (2019). Iterative Method for Numerical Solution of Two-Dimensional Nonlinear Urysohn Fuzzy Integral Equations. In: Georgiev, K., Todorov, M., Georgiev, I. (eds) Advanced Computing in Industrial Mathematics. BGSIAM 2017. Studies in Computational Intelligence, vol 793. Springer, Cham. https://doi.org/10.1007/978-3-319-97277-0_12
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