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- Title
Some Results on a Two Variables Pell Polynomials.
- Authors
Sarhan, Mohammed Abdulhadi; SHIHAB, Suha; RASHEED, Mohammed
- Abstract
New Pell polynomials in two dimensions together with many important properties are presented in this work. The two dimensions Pell polynomials expansion coefficients of a first partial derivative of a differentiable function in terms of their original expansion coefficients, is included in the present article. The main advantage of the presented formulas is that the new properties of Pell polynomials in two variables greatly simplify the original problems and the result will lead to easy calculation of the coefficients of expansion. A direct spectral method along with the presented two variables Pell polynomials is proposed to solve partial differential equation. Illustrated examples are included to demonstrate the validity of the technique.
- Subjects
POLYNOMIALS; PARTIAL differential equations; EXPANSION of solids; DIFFERENTIABLE functions; DIMENSIONS
- Publication
Al-Qadisiyah Journal of Pure Science, 2021, Vol 26, Issue 1, p55
- ISSN
1997-2490
- Publication type
Article
- DOI
10.29350/qjps.2021.26.1.1246