On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Autor: Kaddoura Issam, Mourad Bassam

Publikováno v: Special Matrices, Vol 12, Iss 1, Pp 149-162 (2024)

In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory. This, in turn, gives new closed formulas concerning all sequences of this t

Externí odkaz: https://doaj.org/article/c4f66650048d447fa8f786f3cf44bcd3

Development and validation of correlations for liquid and vapour enthalpies and procedures for generating saturated vapour pressure for NH3–H2O solution

Autor: Mumah , S. N., Akande, H. F., Mudi , K. Y., Olaniyan , I. O., Francis , S.

Publikováno v: Nigerian Journal of Technological Research; Vol. 17 No. 1 (2022); 17-35

Liquid and vapour enthalpies and saturated vapour pressure correlations were developed using the Chebychev series approach to curve fitting for the liquid and vapour phases of NH3–H2O(ammonia-water) solutions using experimental data. The average pe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=78975075580c::279064bf95a63a77773d1e8efd148a84
https://www.ajol.info/index.php/njtr/article/view/238711

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Variational Iteration Method for First and Second Order Ordinary Differential Equations using First Kind Chebychev Polynomials

Autor: Michael A. Obe, Innocent C. Eli, Godspower C. Abanum

Publikováno v: I. J. of Advances in Scientific Research and Engineering-IJASRE (ISSN: 2454-8006); Vol. 4 No. 8 (2018): Volume 4 Issue 8 Aug (2018); 126-131

In this research work, we focused on the application of the first kind Chebychev polynomials as basis functions for the numerical solution of first and second order ordinary differential equations. For this purpose, the variational iteration method (

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2de5c01f11b505b8f84aa9555bb8987c
https://doi.org/10.31695/ijasre.2018.32829

Transformed Generate Approximation method for generalized boundary value problems using first-kind Chebychev polynomials

Autor: Njoseh, Ignatius N., Ebimene, J. Mamadu

Publikováno v: Science World Journal; Vol 11, No 4 (2016); 30-33

In this paper, a new numerical method, the Transformed Generate Approximation Method (TGAM) is proposed for generalized boundary value problems with first-kind Chebychev polynomials as trial functions. In this method, the trial functions are substitu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=78975075580c::7df68ccd937f4aba970fac4859c58c0e
https://www.ajol.info/index.php/swj/article/view/154829