Title of article :
Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions
Author/Authors :
Hatamzadeh-Varmazyar, S. Department of Electrical Engineering - Islamshahr Branch, Islamic Azad University, Tehran, Iran , Masouri, Z. Department of Electrical Engineering - Islamshahr Branch, Islamic Azad University, Tehran, Iran
Abstract :
A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical results for some examples show that the method has a good accuracy.
Keywords :
Approximate solution , Triangular functions , Vector forms , Direct method , Integral equations of the second kind
Journal title :
Astroparticle Physics
