In present paper Adomian decomposition method has been used to compute modified of Sumudu transform (Elzaki transform) of some functions. The solution is found in the form of convergent power series with easily computed components. The method is based on the Elzaki transform and Adomian decomposition method and is quite easy and fast to compute Elzaki transform.

No abstract

No abstract

In this work, the convergence properties of triple Elzaki transform was examine and the results presented in the form of theorems on convergence, absolute convergence and uniform convergence of triple Elzaki transform. The triple Elzaki transform of triple integral examined for integral evaluation. Finally, Volterra integro-partial differential equation solved by using triple Elzaki transform.

In this study, we present a new approximation method to give an explicit solution of a laminar flow using a Sisko model. This is a problem of a generalized Newtonian fluid with slip boundary conditions. The proposed method is based on the variational iteration method (VIM) combined with an approximation step. This method is validated where the exact solution is available. In addition, in order to enrich the discussion, a numerical method is presented. The results illustrate that the VIM may be more effective that the finite difference method for a dilatant fluid. However, the VIM will be inappropriate for pseudoplastic fluid cases.