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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 27Issue 1PP: 272-277 • 2026

A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations

Ahmed Hanoon Abud 1* ,
Laheeb Muhsen Noman 1 ,
Ahmed Bakheet 1
1Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
* Corresponding Author.
Received: March 25, 2025 Revised: June 06, 2025 Accepted: July 24, 2025

Abstract

This research introduces a novel approach to the non-polynomial spline dependent method for solving fuzzy partial differential equations. The tensor product of non-polynomial spline functions is derived in order to obtaining a solution to fuzzy partial differential equations, such as fuzzy hyperbolic and parabolic equations. The advantage of this method is that it simplifies the complex procedure that arises from the term of the typical product of a fuzzy number by fuzzy functions. Examples are presented to show that the outcomes of the research indicate that the technique is extremely useful to construct the solution to the desired fuzzy partial differential equations.

Keywords

Fuzzy partial differential equations Cubic non-polynomial spline Approximate solution

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Cite This Article

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Abud, Ahmed Hanoon, Noman, Laheeb Muhsen, Bakheet, Ahmed. "A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations." International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 1, 2026, pp. 272-277. DOI: https://doi.org/10.54216/IJNS.270124
Abud, A., Noman, L., Bakheet, A. (2026). A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations. International Journal of Neutrosophic Science, Volume 27(Issue 1), 272-277. DOI: https://doi.org/10.54216/IJNS.270124
Abud, Ahmed Hanoon, Noman, Laheeb Muhsen, Bakheet, Ahmed. "A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations." International Journal of Neutrosophic Science Volume 27, no. Issue 1 (2026): 272-277. DOI: https://doi.org/10.54216/IJNS.270124
Abud, A., Noman, L., Bakheet, A. (2026) 'A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations', International Journal of Neutrosophic Science, Volume 27(Issue 1), pp. 272-277. DOI: https://doi.org/10.54216/IJNS.270124
Abud A, Noman L, Bakheet A. A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations. International Journal of Neutrosophic Science. 2026;Volume 27(Issue 1):272-277. DOI: https://doi.org/10.54216/IJNS.270124
A. Abud, L. Noman, A. Bakheet, "A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations," International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 1, pp. 272-277, 2026. DOI: https://doi.org/10.54216/IJNS.270124
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