Reliable Iterative Methods for Solving the Falkner-Skan Equation

Year 2020, Volume: 33 Issue: 1, 168 - 186, 01.03.2020

Majeed Al-jawary

https://doi.org/10.35378/gujs.457840

Cited By: 6

Abstract

In this work, we suggest reliable iterative methods to solve the Falkner-Skan problem to obtain new approximate solutions. The suggested methods. are Tamimi-Ansari method.(TAM), Daftardair-Jafari. method.(DJM) and Banach countraction method.(BCM). We compare the obtained numerical results with other numerical methods like the Runge-Kutta (RK4) and Euler methods. The fixed point theorm is presented to test the convergence of the suggested methods. Moreover, the results of the remaining maximum error values showing that the suggested methods are reliable and effective. The Software used in our calculations for this work is Mathematica® 10.

Keywords

Falkner-Skan equation, Iterative methods, Numerically solution

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