Yüksek Mertebeden Lineer Kompleks Diferansiyel Denklemlerin Hermite Polinomları ile Nümerik Çözümleri

Bu makalede lineer kompleks diferansiyel denklemleri hermite polinomları vasıtasıyla nümerik çözümünü

Anahtar Kelimeler:

Hermite polinomları, lineer kompleks diferansiyel denklemler, nümerik çözüm

Numerical Solution for High-Order Linear Complex Differential Equations By Hermite Polynomials

In this paper, the numerical solutions of complex differential equations are provided by the HermitePolynomials and carried on two problems. As a result, the exact solutions and numerical one’s have compared bytables and graphs that the method is practical, reliable and functional.

Keywords:

Hermite polynomials, linear complex differential equations, numerical solution,

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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.