Pindza, EdsonMare, EbenPreusser, Tobias2015-06-042015-06-042014-04-12Pindza, E & Mare, E 2014, 'Solving the generalized regularized long wave equation using a distributed approximating functional method', International Journal of Computational Mathematics, vol. 2014, no. 178024, pp. 1-12.2356-797X (print)2314-856X (online)10.1155/2014/178024http://hdl.handle.net/2263/45400This paper was supported by BradWelch, RidgeCape Capital, Tokai, Cape Town.The generalized regularized long wave (GRLW) equation is solved numerically by using a distributed approximating functional (DAF) method realized by the regularized Hermite local spectral kernel. Test problems including propagation of single solitons, interaction of two and three solitons, and conservation properties of mass, energy, and momentum of the GRLW equation are discussed to test the efficiency and accuracy of the method. Furthermore, using the Maxwellian initial condition, we show that the number of solitons which are generated can be approximately determined. Comparisons are made between the results of the proposed method, analytical solutions, and numerical methods. It is found that the method under consideration is a viable alternative to existing numerical methods.en© 2014 E. Pindza and E. Mare. This is an open access article distributed under the Creative Commons Attribution License.Generalized regularized long wave (GRLW) equationDistributed approximating functional (DAF) methodRegularized Hermite local spectral kernelArticle