On Morgan-Voyce Polynomials Approximation For Linear Differential Equations

Volume: 2 Number: 1 May 26, 2016
  • Özgül İlhan
  • Niyazi Şahin
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

  1. 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.
  2. M. N. S. Swamy. Further properties of Morgan-Voyce Polynomials. Fibonacci Quarterly, Vol. 6, No. 2, pp. 167-175, Apr. 1968.
  3. 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).
  4. 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).
  5. 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).
  6. 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).
  7. 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

-

Authors

Özgül İlhan This is me

Niyazi Şahin This is me

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