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This thesis discusses the use of Euler polynomials to determine the solution of the linear Volterra integral equation using the collocation method. The process begins by expressing the solution of the intended Volterra integral equation in the form of an Euler series. Furthermore, substitute the Euler series into the Volterra integral equation so that a system of linear equations is obtained which is the coefficient of the Euler polynomial series. By substituting the obtained coefficients into the Euler polynomial series, the solution to the Volterra integral equation is obtained. Some examples are solved to illustrate the effectiveness and simplicity of the proposed method. The solution produced in this discussion gives a relatively small error value when compared to the exact solution, this can be seen in the numerical example section 4.3.1-4.3.3.
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