| 107 | The results for the method are the following 10 equations: |
| 108 | |
| 109 | {{{#!Latex |
| 110 | \hat{\alpha}_1 = \frac{\triangle \rho - \hat{p} \hat{a} \triangle u}{2 \hat{a} ^2} |
| 111 | }}} |
| 112 | |
| 113 | {{{#!Latex |
| 114 | \hat{\alpha}_2 = \triangle \rho - \triangle p / \hat{a}^2} |
| 115 | }}} |
| 116 | |
| 117 | {{{#!Latex |
| 118 | \hat{\alpha}_3 = \hat{\rho} \triangle v |
| 119 | }}} |
| 120 | |
| 121 | {{{#!Latex |
| 122 | \hat{\alpha}_4 = \hat{\rho} \triangle w |
| 123 | }}} |
| 124 | |
| 125 | {{{#!Latex |
| 126 | \hat{\alpha}_5 = \frac{\triangle p + \hat{\rho} \hat{a} \triangle u}{2 \hat{a} ^2} |
| 127 | }}} |
| 128 | |