Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions
الموضوعات : مجله بین المللی ریاضیات صنعتی
S. Hatamzadeh-Varmazyar
1
(Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Tehran, Iran.)
Z. Masouri
2
(Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Tehran, Iran.)
الکلمات المفتاحية: Approximate solution, Vector forms, Triangular functions, Integral equations of the second kind, Direct method,
ملخص المقالة :
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.
