High Accurate Simple Approximation of Normal Distribution Integral

<table>(a) Error function <svg height="15.1125" id="M61" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 45.625 15.1125" width="45.625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x65"></use></g><g transform="matrix(.017,-0,0,-.017,7.287,12.162)"><use xlink:href="#x72"></use></g><g transform="matrix(.017,-0,0,-.017,13.594,12.162)"><use xlink:href="#x66"></use></g><g transform="matrix(.017,-0,0,-.017,24.286,12.162)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,30.167,12.162)"><use xlink:href="#x1D465"></use></g><g transform="matrix(.017,-0,0,-.017,39.67,12.162)"><use xlink:href="#x29"></use></g>
</svg> and approximations. (b) Relative error for each approximation.</table>

Mathematical Problems in Engineering

High Accurate Simple Approximation of Normal Distribution Integral

Figure 3