Exploring the Efficiency of the q-Homotopy Analysis Transform Method for Solving a Fractional Initial Boundary Value Problem with a Nonlocal Condition

This article employs the q-homotopy analysis transformation method (q-HATM) to numerically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied to solve, in which the exact solution is obtained, several test examples in order to illustrate its efficiency.

Automated summary

This article uses the q-homotopy analysis transformation method (q-HATM) to numerically solve a fractional initial-boundary value problem (IBVP) subjected to an integral condition. The resulting numerical scheme is applied to several test examples, where an exact solution is obtained, to demonstrate its efficiency.