A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations

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 Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran.)

تاريخ الإرسال : 01 الخميس , شعبان, 1438 تاريخ التأكيد : 02 الأحد , صفر, 1439 تاريخ الإصدار : 14 الإثنين , ربيع الثاني, 1439

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.