A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
الموضوعات : مجله بین المللی ریاضیات صنعتیS. Hatamzadeh-Varmazyar 1 , Z. Masouri 2
1 - Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran.
الکلمات المفتاحية: Triangular functions, Iterative method, Recurrence relation, Second kind Volterra integral equation, Operational matrix,
ملخص المقالة :
This article proposes a fast and accurate expansion-iterative method for solving second kind linear Volterra integral equations. The method is based on a special representation of vector forms of triangular functions (TFs) and their operational matrix of integration. By using this approach, solving the integral equation reduces to solve a recurrence relation. The approximate solution of integral equation is iteratively produced via the recurrence relation.
