zbMATH — the first resource for mathematics

A new algorithm for solving classical Blasius equation. (English) Zbl 1108.65085
Summary: A reliable algorithm is employed to investigate the classical Blasius equation. The algorithm is based mainly on applying the Adomian decomposition method to the transformation of the Blasius equation. The results demonstrate reliability and efficiency of the proposed algorithm.

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
65L99 Numerical methods for ordinary differential equations
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
Full Text: DOI
[1] Keulegen, G.K., Laminar flow at the interface of two liquids, J. res. nat. bur. std., 32, 303, (1994)
[2] Lock, R.C., The velocity distribution in the laminar boundary layer between parallel streams, Quart. J. appl. math., 4, 42, (1951) · Zbl 0042.43002
[3] Potter, O.E., Laminar boundary layers at the interfaces of co-current parallel streams, Quart. J. mech. appl. math., 10, 302-311, (1957) · Zbl 0078.17701
[4] Abu-Sitta, A.M.M., A note on a certain boundary-layer equation, Appl. math. comput., 4, 73-77, (1994) · Zbl 0811.34013
[5] Weyl, H., On the differential equations of the simplest boundary later problem, Ann. math., 43, 381-407, (1942) · Zbl 0061.18002
[6] Adomian, G., Solving frontier problems of physics: the decomposition method, (1994), Kluwer Boston, MA · Zbl 0802.65122
[7] Adomian, G., A review of the decomposition method in applied mathematics, J. math. anal. appl., 135, 501-544, (1988) · Zbl 0671.34053
[8] Shin, J.Y., A singular nonlinear differential equation arising in the homann flow, J. math. anal. appl., 212, 443-451, (1997) · Zbl 0883.34021
[9] Wazwaz, A.-M., A study on a boundary-layer equation arising in an incompressible fluid, Appl. math. comput., 111, 53-69, (2000)
[10] Wazwaz, A.-M., A new algorithm for calculating Adomian polynomials for nonlinear operators, Appl. math. comput., 87, 199-204, (1997)
[11] Wazwaz, A.-M., The modified decomposition method and PadĂ© approximants for solving the Thomas-Fermi equation, Appl. math. comput., 105, 11-19, (1999) · Zbl 0956.65064
[12] Wazwaz, A.-M., The numerical solution of sixth-order boundary value problems by the modified decomosition method, Appl. math. comput., 118, 311-325, (2001) · Zbl 1023.65074
[13] Wazwaz, A.-M., A new algorithm for solving differential equations of lane – emden type, Appl. math. comput., 118, 287-310, (2001) · Zbl 1023.65067
[14] Asaithambi, A., A finite-difference method for the falkner – skan equation, Appl. math. comput., 92, 135-141, (1998) · Zbl 0973.76581
[15] Guo, K.L., Numerical heat transfer, (1988), University of Science and Technology of China Press Beijing, in Chinese
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.