Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations

Joshua Ikechukwu Nwamba
2013 Applied and Computational Mathematics  
The multi-order fractional Burgers-Poisson (MFBP) equation was introduced, exact as well as approximate solutions to the introduced MFBP, fractional Burgers-Poisson (fBP) and Burgers-Poisson (BP) equations were obtained through the use of the homotopy perturbation method (HPM) and the Adomian decomposition method (ADM) in this paper. The effectiveness and efficiency of the approximate techniques in handling strongly nonlinear multi-order fractional as well as fractional partial differential
more » ... tions was established in this paper. It was also shown in this paper that the two approximate techniques employed gave similar results to the considered model equations.
doi:10.11648/j.acm.20130203.12 fatcat:zpsexfgtpnb7zfvhtq6evc6ehm