This paper is used to solve the systems of linear Fredholm-Volterra integro-differential equations (SLFVIDEs) and systems of linear Fredholm-Volterra integral equations (SLFVIEs) by means of the combined sumudu transform with Adomian decomposition process. The approximate solution obtained by CST-ADM has been improved by using the Padé approximation (PA) of order[p/q], Trapezoidal rule and Simpson rule. These proposed methods gave excellent results close to the exact solution. By use a comparison of the numerical results with the exact solutions to demonstrate the high accuracy of the solution results. The results show that the present method is very straightforward and effective.
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