The main target of this paper is to solve a system of two-dimensional Volterra integral equations (2-DVIEs). Operational Matrices of two-dimensional hybrid of block-pulse functions and Legendre polynomials are applied to reduce these systems of integral equations to a system of algebraic equations. The main benefit of these basic functions is their efficiency in dealing with non-sufficiently smooth functions. An error bound is provided and some examples are prepared to verify the applicability of the offered numerical technique.
Maleknejad, K. and Shahabi, M. (2022). Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions. Journal of Mathematical Modeling, 10(2), 349-365. doi: 10.22124/jmm.2021.19962.1727
MLA
Maleknejad, K. , and Shahabi, M. . "Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions", Journal of Mathematical Modeling, 10, 2, 2022, 349-365. doi: 10.22124/jmm.2021.19962.1727
HARVARD
Maleknejad, K., Shahabi, M. (2022). 'Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions', Journal of Mathematical Modeling, 10(2), pp. 349-365. doi: 10.22124/jmm.2021.19962.1727
CHICAGO
K. Maleknejad and M. Shahabi, "Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions," Journal of Mathematical Modeling, 10 2 (2022): 349-365, doi: 10.22124/jmm.2021.19962.1727
VANCOUVER
Maleknejad, K., Shahabi, M. Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions. Journal of Mathematical Modeling, 2022; 10(2): 349-365. doi: 10.22124/jmm.2021.19962.1727
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