Improved Elzaki Transform Decomposition Method for the Analytic Solution of Gas Dynamic Equations

Abstract

In this paper, we implement the improved Elzaki transform decomposition method for the analytic
solution of gas dynamic problems. The method merges the properties of the Elzaki Transform method
and Adomian decomposition method. The method requires no additional work stress such as
perturbation, linearization or discretization and proves very effective in resolving the gas dynamic
equations. The resulting numerical evidences show that the method converges favourably to the
analytic solution. All computations are implemented with maple 18 software.