Theoretical Error Analysis of Solution for Two-Dimensional Stochastic Volterra Integral Equations by Haar Wavelet

The finding an efficient way to the approximate solutions of the stochastic integral equations is an essential requirement. In this paper we discuss the convergence analysis of the two-dimensional Haar wavelet functions (2D-HWFs) method for solve 2D linear stochastic Volterra integral equation. The...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2019-12, Vol.5 (6), p.1-13, Article 152
Main Authors: Fallahpour, M., Khodabin, M., Maleknejad, K.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Error analysis
Integral equations
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Numerical methods
Operations Research/Decision Theory
Original Paper
Theoretical
Two dimensional analysis
Volterra integral equations
Wavelet analysis
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Summary:The finding an efficient way to the approximate solutions of the stochastic integral equations is an essential requirement. In this paper we discuss the convergence analysis of the two-dimensional Haar wavelet functions (2D-HWFs) method for solve 2D linear stochastic Volterra integral equation. The illustrative examples are included to demonstrate the validity and applicability of this numerical method.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-019-0739-3