Research Article

Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations

Volume: 3 Number: 1 April 24, 2020
Mohsen Fallahpour *, Morteza Khodabin
EN

Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations

Abstract

In this paper, two-dimensional modified block-pulse functions (2D-MBPFs) method is introduced for approximate solution of 2D-linear stochastic Volterra-Fredholm integral equations so the ordinary and stochastic operrational matrices of integration are utilized to reduce the computation of such equations into some algebraic equations. Convergence analysis of this method is discussed. Finally an illustrative example is given to show the accuracy of the proposed method so the results of it is compared with the block-pulse functions (BPFs) method.

Keywords

Modified block-pulse functions; Two-dimensional integral equation;,Stochastic integral equation; Volterra-Fredholm integral equation; Operational

References

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APA
Fallahpour, M., & Khodabin, M. (2020). Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations. Journal of Mathematical Sciences and Modelling, 3(1), 38-46. https://doi.org/10.33187/jmsm.561172
AMA
1.Fallahpour M, Khodabin M. Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations. Journal of Mathematical Sciences and Modelling. 2020;3(1):38-46. doi:10.33187/jmsm.561172
Chicago
Fallahpour, Mohsen, and Morteza Khodabin. 2020. “Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations”. Journal of Mathematical Sciences and Modelling 3 (1): 38-46. https://doi.org/10.33187/jmsm.561172.
EndNote
Fallahpour M, Khodabin M (April 1, 2020) Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations. Journal of Mathematical Sciences and Modelling 3 1 38–46.
IEEE
[1]M. Fallahpour and M. Khodabin, “Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations”, Journal of Mathematical Sciences and Modelling, vol. 3, no. 1, pp. 38–46, Apr. 2020, doi: 10.33187/jmsm.561172.
ISNAD
Fallahpour, Mohsen - Khodabin, Morteza. “Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations”. Journal of Mathematical Sciences and Modelling 3/1 (April 1, 2020): 38-46. https://doi.org/10.33187/jmsm.561172.
JAMA
1.Fallahpour M, Khodabin M. Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations. Journal of Mathematical Sciences and Modelling. 2020;3:38–46.
MLA
Fallahpour, Mohsen, and Morteza Khodabin. “Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations”. Journal of Mathematical Sciences and Modelling, vol. 3, no. 1, Apr. 2020, pp. 38-46, doi:10.33187/jmsm.561172.
Vancouver
1.Mohsen Fallahpour, Morteza Khodabin. Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations. Journal of Mathematical Sciences and Modelling. 2020 Apr. 1;3(1):38-46. doi:10.33187/jmsm.561172