An efficient numerical method for solving nonlinear foam drainage equation

作者：Parand K.^*; Delkhosh M.

来源：Indian Journal of Physics and Proceedings of the Indian Association for the Cultivation of Science, 2018, 92(2): 231-243.

DOI：10.1007/s12648-017-1098-8

• Foam drainage equation
• Fractional order of the Chebyshev functions
• Quasilinearization method
• Collocation method
• Nonlinear PDE

In this paper, the nonlinear foam drainage equation, which is a famous nonlinear partial differential equation, is solved by using a hybrid numerical method based on the quasilinearization method and the bivariate generalized fractional order of the Chebyshev functions (B-GFCF) collocation method. First, using the quasilinearization method, the equation is converted into a sequence of linear partial differential equations (LPD), and then these LPDs are solved using the B-GFCF collocation method. A very good approximation of solutions is obtained, and comparisons show that the obtained results are more accurate than the results of other researchers.

• 出版日期2018-2