Research Article
Year 2017,
Volume: 7 Issue: 4, 189 - 201, 31.12.2017
Abstract
In this paper, the numerical solutions of complex differential equations are provided by the Hermite
Polynomials and carried on two problems. As a result, the exact solutions and numerical one’s have compared by
tables and graphs that the method is practical, reliable and functional.
References
- Düşünceli F, Çelik E, 2015. An effective tool: Numerical solutions by Legendre polynomials for high-order linear complex differential equations. British Journal of Applied Science &Technology, 8(4): 348-355.
- Düşünceli F, Çelik E, 2017. Fibonacci matrix polynomial method for linear complex differential equations. Asian Journal of Mathematics and ComputerResearch, 15(3): 229-238.
- Gülsu M, Gürbüz B, Öztürk Y, Sezer M, 2011.Laguerre polynomial approach for solving linear delay difference equations.Applied Mathematics and Computation, 217:6765–6776.
- Sezer M, Yalçınbaş S, 2009.A collocation method to solve higher order linear complex differential equations in rectangular domains.Numerical Methods for Partial Differential Equations, 26:596–611.
- Tohidi E, 2012. Legendre approximation for solving linear HPDEs and comparison with Taylor and Bernoulli matrix methods.Applied Mathematics, 3:410–416.
- Yüzbaşı S, Aynıgül M, Sezer M, 2011.A collocation method using Hermite polynomials for approximate solution of pantograph equations.Journal of the Franklin Institute, 348:1128–1139.
- Yüzbası S, Şahin N, Gülsu M, 2011. A collocation approach for solving a class of complex differential equations in elliptic domains.Journal of Numerical Mathematics, 19: 225–246.
Yüksek Mertebeden Lineer Kompleks Diferansiyel Denklemlerin Hermite Polinomları ile Nümerik Çözümleri
Abstract
Bu makalede lineer kompleks diferansiyel denklemleri hermite polinomları vasıtasıyla nümerik çözümünü
sağladık ve iki test problemine uyguladık. Tam çözümler ile nümerik çözümleri tablo ve grafikler ile karşılaştırdık.
Sonuç olarak metodumuzun güvenilir, pratik ve kullanışlı olduğunu gördük.
References
- Düşünceli F, Çelik E, 2015. An effective tool: Numerical solutions by Legendre polynomials for high-order linear complex differential equations. British Journal of Applied Science &Technology, 8(4): 348-355.
- Düşünceli F, Çelik E, 2017. Fibonacci matrix polynomial method for linear complex differential equations. Asian Journal of Mathematics and ComputerResearch, 15(3): 229-238.
- Gülsu M, Gürbüz B, Öztürk Y, Sezer M, 2011.Laguerre polynomial approach for solving linear delay difference equations.Applied Mathematics and Computation, 217:6765–6776.
- Sezer M, Yalçınbaş S, 2009.A collocation method to solve higher order linear complex differential equations in rectangular domains.Numerical Methods for Partial Differential Equations, 26:596–611.
- Tohidi E, 2012. Legendre approximation for solving linear HPDEs and comparison with Taylor and Bernoulli matrix methods.Applied Mathematics, 3:410–416.
- Yüzbaşı S, Aynıgül M, Sezer M, 2011.A collocation method using Hermite polynomials for approximate solution of pantograph equations.Journal of the Franklin Institute, 348:1128–1139.
- Yüzbası S, Şahin N, Gülsu M, 2011. A collocation approach for solving a class of complex differential equations in elliptic domains.Journal of Numerical Mathematics, 19: 225–246.
There are 7 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Matematik / Mathematics |
| Authors | |
| Publication Date | December 31, 2017 |
| Submission Date | May 23, 2017 |
| Acceptance Date | July 19, 2017 |
| Published in Issue | Year 2017 Volume: 7 Issue: 4 |