Numerical Approximation of Stochastic Volterra Integral Equation Using Walsh Function
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| Publicado en: | arXiv.org (May 1, 2023), p. n/a |
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| Autor principal: | |
| Otros Autores: | , |
| Publicado: |
Cornell University Library, arXiv.org
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| Materias: | |
| Acceso en línea: | Citation/Abstract Full text outside of ProQuest |
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| 001 | 2808433376 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 2331-8422 | ||
| 035 | |a 2808433376 | ||
| 045 | 0 | |b d20230501 | |
| 100 | 1 | |a Prit Pritam Paikaray | |
| 245 | 1 | |a Numerical Approximation of Stochastic Volterra Integral Equation Using Walsh Function | |
| 260 | |b Cornell University Library, arXiv.org |c May 1, 2023 | ||
| 513 | |a Working Paper | ||
| 520 | 3 | |a This paper provides a numerical approach for solving the linear stochastic Volterra integral equation using Walsh function approximation and the corresponding operational matrix of integration. A convergence analysis and error analysis of the proposed method for stochastic Volterra integral equations with Lipschitz functions are presented. Numerous examples with available analytical solutions demonstrate that the proposed method solves linear stochastic Volterra integral equations more precisely than existing techniques. In addition, the numerical behaviour of the method for a problem with no known analytical solution is demonstrated. | |
| 653 | |a Exact solutions | ||
| 653 | |a Error analysis | ||
| 653 | |a Walsh function | ||
| 653 | |a Approximation | ||
| 653 | |a Volterra integral equations | ||
| 700 | 1 | |a Beuria, Sanghamitra | |
| 700 | 1 | |a Parida, Nigam Chandra | |
| 773 | 0 | |t arXiv.org |g (May 1, 2023), p. n/a | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/2808433376/abstract/embedded/75I98GEZK8WCJMPQ?source=fedsrch |
| 856 | 4 | 0 | |3 Full text outside of ProQuest |u http://arxiv.org/abs/2305.00823 |