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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 23Issue 4PP: 238-243 • 2024

On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations

Nawar Hazim Mohammed 1*
1Directorate General of Education Rusafa 2, Ministry of Education, Iraq
* Corresponding Author.
Received: June 13, 2023 Revised: January 22, 2024 Accepted: March 11, 2024

Abstract

In this paper, we propose a novel combination of the (He) method with (Mohand transform), and this combination is summarized by representing the nonlinear part (or the residue of the operator) with (He) polynomials after applying the Mohand transform. To prove the accuracy of the proposed method, we applied it to several neutrosophic partial differential equations such as neutrosophic version of Helmholtz equation, neutrosophic version of non-linear oscillator, neutrosophic version of Burger's equation, and the neutrosophic version of telegraph equation. The accuracy and effectiveness of the application of the proposed method was verified by comparing the results obtained with other methods using the Maple software package.

Keywords

neutrosophic partial differential equation Mohand transform numerical solution exact solution

References

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Cite This Article

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Mohammed, Nawar Hazim. "On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, 2024, pp. 238-243. DOI: https://doi.org/10.54216/IJNS.230418
Mohammed, N. (2024). On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations. International Journal of Neutrosophic Science, Volume 23(Issue 4), 238-243. DOI: https://doi.org/10.54216/IJNS.230418
Mohammed, Nawar Hazim. "On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations." International Journal of Neutrosophic Science Volume 23, no. Issue 4 (2024): 238-243. DOI: https://doi.org/10.54216/IJNS.230418
Mohammed, N. (2024) 'On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations', International Journal of Neutrosophic Science, Volume 23(Issue 4), pp. 238-243. DOI: https://doi.org/10.54216/IJNS.230418
Mohammed N. On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 4):238-243. DOI: https://doi.org/10.54216/IJNS.230418
N. Mohammed, "On Developing He Method with Mohand Transform to Find Numerical and Exact Solutions of Some Neutrosophic Partial Differential Equations," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, pp. 238-243, 2024. DOI: https://doi.org/10.54216/IJNS.230418
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