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1 Journal of Applied Mathematics and Computational Mechanics

1 2022

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Numerical scheme methods for solving nonlinear pseudo-hyperbolic partial differential equations

Abdulazeez Sadeq Taha, Modanli Mahmut, Husien Ahmad Muhamad

Journal of Applied Mathematics and Computational Mechanics

2022

Vol. 21, nr 4

5--15

The numerical solutions to the nonlinear pseudo-hyperbolic partial differentia equation with nonlocal conditions are presented in this study. This equation is solved using the homotopy analysis technique (HAM) and the variational iteration method (VIM). Both strategies are compared and contrasted in terms of approximate and accurate solutions. The results show that the HAM technique is more appropriate, effective, and close to the exact solution than the VIM method. Finally, the graphical representations of the obtained results are given.