Numerical Solution Of 12th Order Boundary Value Problems By Using Homotopy Perturbation Method

Mohamed I. A. Othman, A. M. S. Mahdy, R. M. Farouk
2010 Journal of Mathematics and Computer Science  
In this paper, a homotopy-perturbation method (HPM) [1-6, 26-28] is used to solve both linear and nonlinear Nth boundary value problems with two point boundary conditions for ninth-order, tenth-order and twelfth-order. By applying (HPM) on three examples the numerical results are compared with the exact solution, to show effectiveness and accuracy of the method.
doi:10.22436/jmcs.001.01.03 fatcat:dwpenn3ayjfb5crec52frogaxi