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Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 2، شهریور 2022، صفحه 349-365 اصل مقاله (1.34 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.19962.1727 | ||
| نویسندگان | ||
| Khosrow Maleknejad* ؛ Maryam Shahabi | ||
| School of Mathematics, Iran University of Science & Technology, Narmak, Tehran 16844, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| System of two-dimensional Volterra integral equations؛ two-dimensional hybrid functions؛ oroduct Operational matrix؛ operational matrices of integration | ||
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