Reliable Iterative Methods for Solving the Falkner-Skan Equation

Authors : Majeed AL-JAWARY

Pages : 168-186

Doi:10.35378/gujs.457840

View : 11 | Download : 6

Publication Date : 2020-03-01

Article Type : Research Paper

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.insert ignore into journalissuearticles values(TAM);, Daftardair-Jafari. method.insert ignore into journalissuearticles values(DJM); and Banach countraction method.insert ignore into journalissuearticles values(BCM);. We compare the obtained numerical results with other numerical methods like the Runge-Kutta insert ignore into journalissuearticles values(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