| | 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 | |