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Soft Computing

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18.08.2018 | Methodologies and Application

A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative

verfasst von: Suvankar Biswas, Tapan Kumar Roy

Erschienen in: Soft Computing | Ausgabe 17/2019

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Abstract

In this article, a semianalytical numerical method has been presented to solve fuzzy integro-differential equation which may be linear or nonlinear under multi-point or mixed boundary conditions. A convergence analysis of the proposed method has been studied to emphasize its reliability in general. In order to show the effectiveness of this method, some illustrative examples are given. We have shown that with a small number of obtained approximating terms, we achieve a high accuracy level of the obtained results. Comparisons have been made between the solutions of our method and some existing methods. Moreover, proper graphs are provided to show that increasing the number of approximating terms yields a significant decrease in the error of the approximate solution.

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Titel: A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative
verfasst von: Suvankar Biswas
Tapan Kumar Roy
Publikationsdatum: 18.08.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 17/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-018-3430-4

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