Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations
This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition. Integral operator matrixes of triangular functions are used to convert the nonlinear stochastic integral equations into a s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/3869062 |
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| author | Guo Jiang Dan Chen Fugang Liu |
| author_facet | Guo Jiang Dan Chen Fugang Liu |
| author_sort | Guo Jiang |
| collection | DOAJ |
| description | This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition. Integral operator matrixes of triangular functions are used to convert the nonlinear stochastic integral equations into a system of algebraic equations. Meanwhile, we gain the error of the current method, and it is demonstrated that the error accuracy of this method is higher than that of the BPFs. In the end, the feasibility, accuracy, and validity of the current method are demonstrated by numerical results. |
| format | Article |
| id | doaj-art-5388f3ea50504c04987ec84ca04a4896 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5388f3ea50504c04987ec84ca04a48962025-02-03T10:02:11ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/3869062Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral EquationsGuo Jiang0Dan Chen1Fugang Liu2School of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsThis article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition. Integral operator matrixes of triangular functions are used to convert the nonlinear stochastic integral equations into a system of algebraic equations. Meanwhile, we gain the error of the current method, and it is demonstrated that the error accuracy of this method is higher than that of the BPFs. In the end, the feasibility, accuracy, and validity of the current method are demonstrated by numerical results.http://dx.doi.org/10.1155/2024/3869062 |
| spellingShingle | Guo Jiang Dan Chen Fugang Liu Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations Discrete Dynamics in Nature and Society |
| title | Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations |
| title_full | Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations |
| title_fullStr | Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations |
| title_full_unstemmed | Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations |
| title_short | Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations |
| title_sort | triangular function method is adopted to solve nonlinear stochastic it o volterra integral equations |
| url | http://dx.doi.org/10.1155/2024/3869062 |
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