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A computational algorithm for solving nearly penta-diagonal linear systems. (English) Zbl 1157.65340
Summary: An efficient computational algorithm for solving nearly penta-diagonal linear systems is presented. A problem arising from the spreading of a thin power-law fluid, subject to periodic boundary conditions, illustrates the algorithm.

65F05Direct methods for linear systems and matrix inversion (numerical linear algebra)
65F50Sparse matrices (numerical linear algebra)
68W30Symbolic computation and algebraic computation
65F40Determinants (numerical linear algebra)
Full Text: DOI
[1] Miladinova, S.; Slavtchev, S.; Lebon, G.; Legros, J. C.: Long-wave instabilities of non-uniformly heated films. J. fluid mech. 453, 153-175 (2002) · Zbl 1053.76024
[2] Miladinova, S.; Lebon, G.; Toshev, E.: Thin-film flow of a power-law liquid falling down an inclined plate. J. non-Newton fluid mech. 122, 69-78 (2004) · Zbl 1143.76341
[3] Sheid, B.; Oron, A.; Colinet, P.; Thiele, U.; Legros, J. C.: Nonlinear evolution of nonuniformly heated falling liquid films. Phys. fluids 14, 4130-4151 (2002) · Zbl 1185.76322
[4] Karawia, A. A.: A computational algorithm for solving periodic penta-diagonal linear systems. Appl. math. Comput. 174, 613-618 (2006) · Zbl 1089.65023
[5] Rao, S. S.: Applied numerical methods for engineers and scientists. (2002)