Open AccessFifth order of non-polynomial spline functions to find a second type integral numerical solution linear Volterra with weakly singular kernel
Author(s) -
Ahmed Sh. Hamad
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 - 10.1088/1742-6596/1892/1/012022
Subject(s) - volterra integral equation , mathematics , integral equation , kernel (algebra) , polynomial , spline (mechanical) , mathematical analysis , work (physics) , singular integral , order (exchange) , discrete mathematics , physics , thermodynamics , finance , economics
In this work, the fifth order non-polynomial spline functions are used to solve linear Volterra integral equations with weakly singular kernel. Numerical example is presented to illustrate the applications of this method and to compare the computed results with other numerical methods. we take integral equation when it has the kernel and it is non-linear. The results are the approximations that depended on Volterra integral equation. Our work calculated the results for the Volterra integral equation, which are approximate that the error is found.