acta satech Journal of the Life & Physical Sciences Babcock

Perturbation iteration transform method for solving Benjamin-Bona-Mahony equation.
*Adio1, A.K, Adeleke2, E. O., Bamisile1, O. O., and Akanbi1, B.T.
1Department of Basic Sciences, School of Science and Technology, Babcock University, Nigeria. 2Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria.
October, 2019

The Perturbation Iteration Transform Method (PITM), a combination of Laplace Transform method and Perturbation Iteration Algorithm is applied to solve Benjamin-Bona-Mahony (BBM) equation. The numerical solution of the equation, obtained using the initial condition, when compared with solutions obtained through Variational Homotopy Perturbation Method (VHPM) and with the exact solution is more accurate. This shows that the method is efficient and more reliable.
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