Application of the recursion method in the numerical solution of multidiagonal nonlinear systems

References

• Green , A. E. 1976 . On the non-linear behaviour of fluid jets . Int. J. Eng. Sci. , 14 : 49 – 63 .
   Google Scholar
• Bogy , D. B. 1978 . Use of one-dimensional Cosserat theory to study instability in a viscous liquid jet . Phys. Fluids , 21 ( 2 ) : 190 – 197 .
   Web of Science ®Google Scholar
• Bogy , D. B. 1979 . Break-up of a liquid jet: Second perturbation solution for one-dimensional Cosserat theory . IBM J. Res. Develop , 23 ( 1 ) : 87 – 92 .
   Web of Science ®Google Scholar
• Bogy , D. B. 1978 . Break-up of a liquid jet: Third perturbation Cosserat solution . Phys. Fluids , 22 ( 2 ) : 224 – 230 .
   Web of Science ®Google Scholar
• Shine S. J. Finite difference solution of the nonlinear jet equations for a viscous fluid with surface tension Ph.D. dissertation University of California Berkeley 1979
   Google Scholar
• Bogy , D. B. , Shine , S. J. and Talke , F. E. 1980 . Finite difference solution of the Cosserat fluid jet equations . J. Comput. Phys. , 38 : 294 – 326 .
   Google Scholar
• Conte , S. D. and Dames , R. T. 1958 . An alternating direction method for solving the biharmonic equation . Mathematical Tables and Other Aids to Computation , 12 : 198 – 205 .
   Google Scholar
• Pimbley , W. T. and Lee , H. C. 1977 . Satellite droplet formation in a liquid jet . IBM J. Res. Dev. , 21 ( 1 )
   Web of Science ®Google Scholar
• Miller , R. H. 1967 . An experimental method for testing numerical stability in initial value problems . J. Comput. Phys. , 2 : 1 – 7 .
   Google Scholar
• Wentland , N. L. and Merrill , J. R. 1972 . Numerical solution to the helicon boundary value problem . J. Comput. Phys. , 9 : 138 – 158 .
   Google Scholar