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Approximate Solution of Delay Integral Equations via Functions of two Variable
Author(s) -
Abdul Khaleq O. Al-Jubory
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/2/022127
Subject(s) - mathematics , volterra integral equation , spline (mechanical) , variable (mathematics) , basis function , basis (linear algebra) , integral equation , function (biology) , b spline , variables , mathematical optimization , mathematical analysis , geometry , statistics , structural engineering , evolutionary biology , engineering , biology
In this work, we adopt B. spline function of two variables basis for solving linear multi-dimensional delay Volterra integral equations nonhomogeneous of the second type. We employ the two methods to approximate solution via B. spline function of two variables basis that yields linear system. Some examples are given, the results shown in tables and figures. These methods are very effective, convenient and overcome the difficulty of traditional methods. We solve this problem with the assistance of Matlab18.

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