Numerical solutions of system of two-dimensional Volterra integral equations via operational matrices of hybrid functions

Author(s):

Khosrow Maleknejad * , Maryam Shahabi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

System of two-dimensional Volterra integral equations , two-dimensional hybrid functions , oroduct Operational matrix , operational matrices of integration

Language:
English
Published:
Journal of Mathematical Modeling, Volume:10 Issue: 2, Spring 2022
Pages:
349 to 365
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