In this work, the novel iterative transformation technique and homotopy perturbation are used to calculate fractional-order gas dynamics equation. technique, iteration method combined with Elzaki transformation. The current methods implemented four examples show efficacy validation of techniques. approximate solutions obtained by given techniques that accurate easy apply other linear nonlinear ...

A new integral transform method for regularized long-wave (RLW) models having fractional-order is presented in this study. Although analytical approaches are challenging to apply such models, semianalytical or numerical techniques have received much attention the literature. We propose a technique combining transformation, Elzaki (ET), and it equations The RLW describe ion-acoustic waves plasma...

differential transform method has been applied to solve many functional equations so far. in this article, we have used this method to solve wave-like equations. differential transform method is capable of reducing the size of computational work. exact solutions can also be achieved by the known forms of the series solutions. some examples are prepared to show theefficiency and simplicity of th...

. Pantai merupakan kawasan yang sering dimanfaatkan untuk berbagai kegiatan manusia, namun seringkali upaya pemanfaatan tersebut menyebabkan permasalahan pantai sehingga garis berubah. Salah satu cara dapat digunakan mengetahui perubahan yaitu dengan membuat model matematika. Model berbentuk persamaan diferensial parsial diselesaikan secara analitik menggunakan metode transformasi Elazki. Metod...

reduced differential transform method (rdtm) is applied to various wave equations. to assessthe accuracy of the solutions, we compare the results with the exact solutions and variational iteration method.the results reveal that the rdtm is very effective, convenient and quite accurate to systems of nonlinearequations.

In this paper, we introduce a modified method which is constructed by mixing the residual power series and Elzaki transformation. Precisely, provide details of implementing suggested technique to investigate fractional-order nonlinear models. Second, test efficiency validity on Navier-Stokes Then, apply new analyze system Finally, 3-D graphical plots support impact fractional derivative acting ...