Reduced \({\mathfrak {g}}\)-differential transform method and its applications

In the current paper, we introduced and investigated a Reduced Differential Transform methods within the \({\mathfrak {g}}\) $\mathfrak{g}$ -calculus framework. Then by Use the tools of \({\mathfrak {g}}\) $\mathfrak{g}$ -calculus we demonstrate some of its features like \({\mathfrak {g}}\) $\mathfrak{g}$ -differential and characteristic of Reduced \({\mathfrak {g}}\) $\mathfrak{g}$ -Differential Transform methos. Finally, \({\mathfrak {g}}\) $\mathfrak{g}$ -reduced differential transform is used to solve wave equations of \({\mathfrak {g}}\) $\mathfrak{g}$ -analogue.