Article Per Year (5 Year)
p-Index From 2021 - 2026
0.408
P-Index
This Author published in this journals
All Journal Unnes Journal of Mathematics
Kamoh, Nathaniel
Unknown Affiliation
Education Mathematics

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

 1 
Lucas’s Matrix Approach in Solving First Order Linear Volterra Integro-Differential Equations Kamoh, Nathaniel; Dang, Bwebum; Soomiyol, Comfort
Unnes Journal of Mathematics Vol. 13 No. 2 (2024): Unnes Journal of Mathematics Volume 2, 2024
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v13i2.11243

Abstract

In this paper, matrix calculus of the Lucas polynomials is derived for the numerical solution of first order linear Volterra integro-differential equations. The equation is solved by transforming the differential part of the equation using the Lucas polynomials matrix of derivatives and the integral part is evaluated base on the Lucas polynomials function. The new method possesses the desirable feature of being a strong and dependable technique for solving many Volterra integro-differential equations of the first order. The developed technique was illustrated on some test problems in literature and results confirmed that the developed technique is more accurate than those developed by some considered authors
On the Efficient Approach for the Solution of General Second Order Linear and Nonlinear Fredholm Integro-Differential Equations Kamoh, Nathaniel; Sunday, Joshua; Simooyol, Comfort
Unnes Journal of Mathematics Vol. 13 No. 1 (2024): Unnes Journal of Mathematics Volume 1, 2024
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v13i1.12851

Abstract

In this paper, Fredholm integro-differential equations are solved using the derivative of the Lucas polynomials in matrix form. The equation is first transformed into systems of nonlinear algebraic equations using the Lucas polynomials. The unknown parameters required for approximating the solution of Fredholm integro-differential equations are then determined using Gaussian elimination. The method has proven to be an active and dependable technique for solving many Fredholm integro-differential equations of different order. The novelty in this technique is that it is capable of solving Fredholm integro differential equation of any order by simply updating the matrix of derivative of the Lucas polynomials also surprisingly the technique was tried on mix Fredholm-Volterra integro differential equation and the result obtained was amazing. Some test problems contained in the literature were solved using the developed technique and the results confirmed the applicability and efficiency of the method. The accuracy of the method was observed to be better when compared with some existing methods. 
Co-Authors Dang, Bwebum Simooyol, Comfort Soomiyol, Comfort Sunday, Joshua