ON A STUDY OF A VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND WITH A BULGE FUNCTION USING THE MODIFIED DECOMPOSITION METHOD
In this paper, we use the new modified decomposition method to solve a linear Volterra integral equation of the second kind with a bulge function. We convert the linear Volterra integral equation into a recurrence relation. The complicated steps can be handily achieved by the Mathematica. The study is illustrated through an example. The results obtained by the new modified decomposition method are satisfactory.
Volterra integral equations, bulge functions, Taylor series, modified decomposition method.