Vol. 6 No. 1 (2022): Special Issue in Honor of Professor Ravi P. Agarwal
Articles

Solution of nonlinear boundary layer problems with one boundary conditions at infinity using shooting type differential transform algorithm

Sudha George
Postgraduate and Research Department of Mathematics, Mar Ivanios College, University of Kerala, Trivandrum District, Kerala, India
Sivakumar T R
Postgraduate and Research Department of Mathematics, Mar Ivanios College, University of Kerala, Trivandrum District, Kerala, India
D S Dilip
Department of Mathematics, St.John’s College, Anchal, Kollam District, India.
Published March 22, 2022
Keywords
  • Nonlinear boundary layer problems, analytical solutions, STDTA, Pade Approximants, Boundary conditions at infinity, Final value theorem.
How to Cite
Sudha George, T R, S., & D S Dilip. (2022). Solution of nonlinear boundary layer problems with one boundary conditions at infinity using shooting type differential transform algorithm. Journal of Computational Mathematica, 6(1), 107-116. https://doi.org/10.26524/cm124

Abstract

In this paper, a novel variant of Differential Transform Method (DTM), Shooting Type Differential Transform Algorithm (STDTA) is used to solve some problems in fluid mechanics with one of the boundary conditions at infinity. The analytical solution obtained by using this method is effective in the sense that accuracy is found more. To apply the condition at infinity two procedures are used. STDTA is an effective method for solving these types of problems

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