Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions

محورهای موضوعی : 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.)

تاریخ دریافت : 1396/02/07 تاریخ پذیرش : 1396/07/30 تاریخ انتشار : 1398/01/12

کلید واژه: Approximate solution, Vector forms, Triangular functions, Integral equations of the second kind, Direct method,

چکیده مقاله :

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.