TY - JOUR
T1 - Homotopy Perturbation Method for Time-Fractional Shock Wave Equation
AU - Singh , Mithilesh
AU - Gupta , Praveen Kumar
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 774
EP - 783
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1137
UR - https://global-sci.org/intro/article_detail/aamm/196.html
KW - Partial differential equation, fractional derivative, shock wave equation, homotopy perturbation method.
AB - <p style="text-align: justify;">A scheme is developed to study numerical solution of the time-fractional
shock wave equation and wave equation under initial conditions by the homotopy
perturbation method (HPM). The fractional derivatives are taken in the Caputo
sense. The solutions are given in the form of series with easily computable
terms. Numerical results are illustrated through the graph.</p>