New Approximate Analytical Solutions of the Falkner-Skan Equation

<table>Adomian's solutions <svg height="20.6625" id="M116" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 40.575001 20.6625" width="40.575001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,16.162)"><use xlink:href="#x1D466"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.9,8)"><use xlink:href="#x1D434"></use></g><g transform="matrix(.012,-0,0,-.012,9.9,20.238)"><use xlink:href="#x1D45B"></use></g>
<g transform="matrix(.017,-0,0,-.017,19.25,16.162)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,25.132,16.162)"><use xlink:href="#x1D465"></use></g><g transform="matrix(.017,-0,0,-.017,34.634,16.162)"><use xlink:href="#x29"></use></g>
</svg> and their errors in (a) and presented solutions <svg height="16.625" id="M117" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 37.825001 16.625" width="37.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x1D466"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.9,16.213)"><use xlink:href="#x1D45B"></use></g>
<g transform="matrix(.017,-0,0,-.017,16.5,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,22.382,12.138)"><use xlink:href="#x1D465"></use></g><g transform="matrix(.017,-0,0,-.017,31.884,12.138)"><use xlink:href="#x29"></use></g>
</svg> and their errors in (b) for the Falkner-Skan equation with <svg height="16.6625" id="M118" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 67.75 16.6625" width="67.75" 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="#x1D6FD"></use></g><g transform="matrix(.017,-0,0,-.017,14.647,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,29.351,12.162)"><path d="M535 230h-483v50h483v-50z" id="x2212"></path></g><g transform="matrix(.017,-0,0,-.017,39.33,12.162)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,47.489,12.162)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,51.365,12.162)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,59.524,12.162)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g>
</svg>.</table>

Journal of Applied Mathematics

New Approximate Analytical Solutions of the Falkner-Skan Equation

Figure 4