Series solution method for VIE

In this section we will introduce a practical method to solve the Volterra integral equation with variable limits of integration. We will follow a parallel approach to the method of the series solution around an ordinary point that usually applied in solving an ordinary differential equation. The method is applicable provided that u(x) is an analytic function, i.e. u(x) has a Taylor expansion at x = 0. Accordingly, u(x) can be expressed by a series expansion given by as mention in video. There is a variety on analytic and numerical techniques, traditional and new, that are usually used in studying Volterra integral equations. Accordingly we will first start with the recent methods. Volterra integral equation playlist :- https://www.youtube.com/playlist?list=PL8HByMi5awLpRyGT5vqse9xWYdYwyh0go 1) Adomain Decomposition Method for VIE :- https://youtu.be/lFpN3kDQFZs 2)Noise term Phenomenon:- https://youtu.be/t17Vt59uBvE 3) Series solution method:- https://youtu.be/Guk6CPzlnMc 4) Successive approximation method:- https://youtu.be/_M-JlJRtqBk ...…...................................................................... Like. Share. Comment Subscribe Follow me on Instagram :- @kulsankekumar Integral equation playlist:- https://www.youtube.com/playlist?list=PL8HByMi5awLqLOOFFjOHuGxMlrP_Hd8NA .....…...................................................................... What is Integral Equation:- https://youtu.be/P_BayV54k7o What is Fredholm integral equation and its kinds:- https://youtu.be/SpdcPZe1w3g Homogeneous and non homogeneous Integral equation:- https://youtu.be/Wpgd5LKlGU8 ...…...................................................................... #integralequation #Volterraintegralequation