International Journal of Mathematics Trends and Technology
Volume 44 | Number 1 | Year 2017 | Article Id. IJMTT-V44P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P501
In this work, we have studied a general class of linear first-order partial differential equations which is used as mathematical models in many physically significant fields and applied science. The homotopy perturbation method (HPM) has been used for solving generalized linear first-order partial differential equation. Also, we have tested the HPM on the solving of different implementations which show the efficiency and accuracy of the method. The approximated solutions are agree well with analytical solutions for the tested problems Moreover, the approximated solutions proved that the proposed method to be efficient and high accurate.
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Mohammed S. Mechee, Ghassan A. Al-Juaifri, "A Study of General First-order Partial Differential Equations Using Homotopy Perturbation Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 1, pp. 1-16, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P501
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