METHOD OF TAYLORS SERIES FOR THE PRIMITIVE OF LINEAR FIRST KIND VOLTERRA INTEGRAL EQUATION

With the remarkable advancement in engineering, science, and technology, today more than ever before, the study of integral equations has become essential. These integral equations may be linear or nonlinear. In this paper, authors have solved linear first kind Volterra integral equations (V.I.E.) using Taylor series method. Authors have been considered four numerical examples for explaining the complete methodology. Results of numerical examples show that Taylor series method is very useful and effective numerical method for handling the problem of obtaining the primitives of linear first kind V.I.E.