Refaad for Studies, Research and Developement
Integral Equations and their Relationship to Differential Equations with Initial Conditions
2519-9269 (Print)
2519-9277 (Online)
Volume 1
Issue 1
2016
August
0
Integral Equations and their Relationship to Differential Equations with Initial Conditions
23
31
English
Mostefa NadirDepartment of Mathematics, University of Msila, 28000, Algeria mostefanadir@yahoo.fr
Somia GuechiDepartment of Mathematics, University of Msila, 28000, Algeria guechi.s2711@gmail.com
Integral and differential equations have a fundamental importance in the functional analysis and the practice problems,
and many domains of scientific research. However, the resolution of differential equations with constant coefficients is
easy, but the resolution of these equations with variable coefficients is practically difficult or impossible in more part of
the cases. This work present a analytical method which it transform a differential equations with initial conditions to a
Volterra equations of second kind, efficient methods for approximate numerical solution of these equations, the analysis
of the existence of their solutions, and the convergence of the error.
Differential equation; Volterra integral equation; Euler method; finite differences method; trapezoidal method.
http://www.refaad.com/views/glm/glm113.html
http://www.refaad.com/Files/GLM/GLM2016118-3.pdf