Homotopy Perturbation Elzaki Transform Method for Obtaining the Approximate Solutions of the Random Partial Differential Equations

Year 2022, Volume: 35 Issue: 3, 1051 - 1060, 01.09.2022

Halil Anaç Mehmet Merdan Tülay Kesemen

https://doi.org/10.35378/gujs.798705

Cited By: 3

Abstract

The series solutions of the random nonlinear partial differential equations have been examined by a hybrid method. The random nonlinear partial differential equations are studied by both normal and uniform distributions. Two initial-value problems are indicated to exemplify the influence of the solutions acquired by the hybrid method. Also, the functions for the first and second moments of the approximate solutions of random nonlinear partial differential equations are acquired in the MAPLE software. The hybrid method is implemented to analyze the solutions of the random nonlinear partial differential equations. MAPLE software is used to find the solutions. Besides, MAPLE software is used for the drawing the figures.

Keywords

Expected value, Homotopy perturbation elzaki transform method, Variance

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