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., & 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
Khosrow Maleknejad; Maryam 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
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
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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