EN
On Morgan-Voyce Polynomials Approximation For Linear Differential Equations
Abstract
In this paper, a matrix method for approximately solving certain linear differential equations is presented. This method is called Morgan-Voyce matrix method and converts a linear differential equation into a matrix equation. Then, the equation reduces to a matrix equation corresponding to a system of linear algebraic equations with unknown Morgan-Voyce coefficients. The examples are included to demonstrate the applicability of the technique.
Keywords
References
- Ş. Yüzbaşı, N. Şahin, M. Sezer. Numerical solutions of systems of linear Fredholm integrodifferential equations with Bessel Polynomial bases. Computers&Mathematics with Applications, pp. 3079-3096, 22 April 2011.
- M. N. S. Swamy. Further properties of Morgan-Voyce Polynomials. Fibonacci Quarterly, Vol. 6, No. 2, pp. 167-175, Apr. 1968.
- H. H. Sorkun, S. Yalçınbas. Approximate solutions of linear Volterra integral equation systems with variable coefficients. Appl. Math. Modell., doi:10.1016/j.apm.2010.02.034., (2010).
- A. Akyüz-Daşçıoğlu, M. Sezer. Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations. J. Franklin Ins., vol. 342, pp. 688-701, (2005).
- M. Sezer and A. Akyüz-Daşcıoğlu. A Taylor method for numerical solution of generalized pantograph equations with linear functional argument. J. Comput. Appl. Math., vol. 200, pp. 217-225, (2007).
- M. Sezer. A method for the approximate solution of the second order linear differential equations in terms of Taylor polynomials. Int J Math Educ Sci Technol., vol. 27, pp. 821-834, (1996).
- M. Sezer, S. Yalçınbaş, and N. Şahin Approximate solution of multi-pantograph equation with variable coefficients J Comput Appl Math, vol. 214, pp. 406-416, (2008).
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
May 26, 2016
Submission Date
May 26, 2016
Acceptance Date
-
Published in Issue
Year 2014 Volume: 2 Number: 1
APA
İlhan, Ö., & Şahin, N. (2016). On Morgan-Voyce Polynomials Approximation For Linear Differential Equations. Turkish Journal of Mathematics and Computer Science, 2(1), 1-10. https://izlik.org/JA47LW56SS
AMA
1.İlhan Ö, Şahin N. On Morgan-Voyce Polynomials Approximation For Linear Differential Equations. TJMCS. 2016;2(1):1-10. https://izlik.org/JA47LW56SS
Chicago
İlhan, Özgül, and Niyazi Şahin. 2016. “On Morgan-Voyce Polynomials Approximation For Linear Differential Equations”. Turkish Journal of Mathematics and Computer Science 2 (1): 1-10. https://izlik.org/JA47LW56SS.
EndNote
İlhan Ö, Şahin N (May 1, 2016) On Morgan-Voyce Polynomials Approximation For Linear Differential Equations. Turkish Journal of Mathematics and Computer Science 2 1 1–10.
IEEE
[1]Ö. İlhan and N. Şahin, “On Morgan-Voyce Polynomials Approximation For Linear Differential Equations”, TJMCS, vol. 2, no. 1, pp. 1–10, May 2016, [Online]. Available: https://izlik.org/JA47LW56SS
ISNAD
İlhan, Özgül - Şahin, Niyazi. “On Morgan-Voyce Polynomials Approximation For Linear Differential Equations”. Turkish Journal of Mathematics and Computer Science 2/1 (May 1, 2016): 1-10. https://izlik.org/JA47LW56SS.
JAMA
1.İlhan Ö, Şahin N. On Morgan-Voyce Polynomials Approximation For Linear Differential Equations. TJMCS. 2016;2:1–10.
MLA
İlhan, Özgül, and Niyazi Şahin. “On Morgan-Voyce Polynomials Approximation For Linear Differential Equations”. Turkish Journal of Mathematics and Computer Science, vol. 2, no. 1, May 2016, pp. 1-10, https://izlik.org/JA47LW56SS.
Vancouver
1.Özgül İlhan, Niyazi Şahin. On Morgan-Voyce Polynomials Approximation For Linear Differential Equations. TJMCS [Internet]. 2016 May 1;2(1):1-10. Available from: https://izlik.org/JA47LW56SS