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2020 | OriginalPaper | Chapter

Numerical Solution of Fuzzy Stochastic Volterra-Fredholm Integral Equation with Imprecisely Defined Parameters

Author : Sukanta Nayak

Published in: Recent Trends in Wave Mechanics and Vibrations

Publisher: Springer Singapore

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Abstract

Uncertainties play a major role in stochastic mechanics problems. To study the trajectory involved in stochastic mechanics problems generally, probability distributions are considered. Accordingly, the stochastic mechanics problems govern by stochastic differential equations followed by Markov process. However, the observation still lacks some sort of uncertainties, which are important but ignored. These imprecise uncertainties involved in the various factors affecting the constants, coefficients, initial, and boundary conditions. Hence, there may be a possibility to model a more reliable strategy that will quantify the uncertainty with better confidence. In this context, a computational method for solving fuzzy stochastic Volterra-Fredholm integral equation, which is based on the Block Pulse Functions (BPFs) using fuzzy stochastic operational matrix, is presented. The developed model is used to investigate a test problem of fuzzy stochastic Volterra integral equation and the results are compared in special cases.

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Metadata
Title
Numerical Solution of Fuzzy Stochastic Volterra-Fredholm Integral Equation with Imprecisely Defined Parameters
Author
Sukanta Nayak
Copyright Year
2020
Publisher
Springer Singapore
Book
Recent Trends in Wave Mechanics and Vibrations

Print ISBN: 978-981-15-0286-6

Electronic ISBN: 978-981-15-0287-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-0287-3_9

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