Open AccessSolution of Linear System of Volterra Integral Equations of the First Kind via Generalized Inverse
Author(s) -
Amaal Mohammed
Publication year - 2021
Publication title -
magallaẗ kulliyyaẗ al-rāfidayn al-ǧāmi'aẗ al-'ulūm/maǧallaẗ kulliyyaẗ al-rāfidayn al-ǧāmiʻaẗ li-l-ʻulūm
Language(s) - English
Resource type - Journals
eISSN - 2790-2293
pISSN - 1681-6870
DOI - 10.55562/jrucs.v25i2.443
Subject(s) - volterra integral equation , laplace transform , integral equation , inverse laplace transform , inverse , generalized inverse , mathematics , volterra equations , laplace transform applied to differential equations , system of linear equations , linear system , inverse problem , simplicity , mathematical optimization , computer science , nonlinear system , mathematical analysis , physics , geometry , quantum mechanics
In this research, we have presented and discussed an algorithm for analytical method to solve linear system of Volterra integral equations of the first kind ( LVIE1st ). Algorithm of the analytical method for this system based on the Laplace transform and generalized inverse. The proposed algorithm has been applied to some examples to demonstrate the efficiency and simplicity.