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Numerical Approximation of Stochastic Volterra-Fredholm Integral Equation using Walsh Function

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Publicado en:arXiv.org (May 26, 2023), p. n/a
Autor principal: Prit Pritam Paikaray
Otros Autores: Beuria, Sanghamitra, Parida, Nigam Chandra
Publicado:
Cornell University Library, arXiv.org
Materias:
Error analysis
Mathematical analysis
Walsh function
Wavelet analysis
Integral equations
Fredholm equations
Approximation
Acceso en línea:Citation/Abstract
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Resumen:In this paper, a computational method is developed to find an approximate solution of the stochastic Volterra-Fredholm integral equation using the Walsh function approximation and its operational matrix. Moreover, convergence and error analysis of the method is carried out to strengthen the validity of the method. Furthermore, the method is numerically compared to the block pulse function method and the Haar wavelet method for some non-trivial examples.
ISSN:2331-8422
Fuente:Engineering Database