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

Authors : Halil ANAÇ, Mehmet MERDAN, Tülay KESEMEN

Pages : 1051-1060

Doi:10.35378/gujs.798705

View : 15 | Download : 7

Publication Date : 2022-09-01

Article Type : Research Paper

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