فهرست نشریات علمی دسترسی آزاد ایران

‎In this paper‎, ‎a numerical method based on a recursive relation (sequence) is presented for numerically solving a class of linear Volterra delay integral equations (VDIEs)‎, ‎where the recursive relation is obtained from the considered integral equation itself‎.‎For this purpose‎, ‎first‎, ‎using the Banach fixed point theorem‎, ‎the existence and uniqueness of the solution to the considered VDIEs are proven‎.‎It is also proven that the sequence mentioned above converges to the solution of the equation‎. ‎Then‎, ‎by considering a finite number of terms of the said sequence‎, ‎an approximation to the solution of the equation is obtained‎.‎Finally‎, ‎some numerical examples are given to verify the accuracy and efficiency of the proposed method‎.