An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method

Pattira SripacharasakullertWannika SawangtongPanumart SawangtongKing Mongkut's University of Technology North BangkokMahidol UniversityCommission on Higher Education2020-01-272020-01-272019-12-01Advances in Difference Equations. Vol.2019, No.1 (2019)16871847168718392-s2.0-85068079400https://repository.li.mahidol.ac.th/handle/20.500.14594/51207© 2019, The Author(s). This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy perturbation method (HPM). Furthermore, the convergence analysis and the error estimation derived by the HPM are shown.Mahidol UniversityMathematicsAn approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation methodArticleSCOPUS10.1186/s13662-019-2197-y