Technical report: approximate solution of linear and nonlinear Volterra integral equation singularly perturbed problems using Differential Transform Method (DTM) / Amar Mohd Hakim

In this project, singularly perturbed Volterra integral equations are solved by using Differential Transformed Method (DTM) for both linear and nonlinear equations. To show the efficiency and accuracy of the method, the singularly perturbed Volterra integral equation is calculated to obtain the approximate series solution and compared with exact solution. Those results are shown in tables and represented as graphs by using Maple software. The absolute errors for both linear and nonlinear singularly perturbed Volterra equation also shown in table. Based on the errors, DTM is very effective especially for linear singularly perturbed Integral Volterra equation for solving a large number of singularly perturbed problems.