An efficient numerical method for solving nonlinear foam drainage equation

被引：0
作者：
Kourosh Parand
Mehdi Delkhosh
机构：
[1] Shahid Beheshti University,Department of Computer Sciences
[2] G.C.,Department of Cognitive Modelling, Institute for Cognitive and Brain Sciences
[3] Shahid Beheshti University,undefined
[4] G.C.,undefined
来源：
Indian Journal of Physics | 2018年 / 92卷
关键词：
Foam drainage equation; Fractional order of the Chebyshev functions; Quasilinearization method; Collocation method; Nonlinear PDE; 02.30.Jr; 02.70.Hm; 82.70.Rr;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：231 / 243
页数：12
相关论文
共 131 条
  • [1] Stone HA(2003)undefined J. Phys. Condens Matter. 15 S283-undefined
  • [2] Koehler SA(2001)undefined Phys. Rev. Lett. 20 4704-undefined
  • [3] Hilgenfeldt S(1999)undefined J. Mater. Sci. Lett. 18 617-undefined
  • [4] Durand M(2007)undefined Appl. Math. Comput. 190 599-undefined
  • [5] Hilgenfeldt S(2009)undefined Comput. Math. Appl. 58 360-undefined
  • [6] Koehler SA(2009)undefined Nonlinear Anal. Real World Appl. 10 1904-undefined
  • [7] Stone HA(2009)undefined Adv. Stud. Theor. Phys. 3 283-undefined
  • [8] Banhart J(2011)undefined Int. J. Differ. Equ. 2011 864023-undefined
  • [9] Brinkers W(2012)undefined Food Public Health 2 6-undefined
  • [10] Helal MA(2013)undefined Neural Comput. Appl. 23 411-undefined
12345678910