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Ercan Çelik

Publications (3)

An Effective Tool: Numerical Solutions by Legendre Polynomials for High-order Linear Complex Differential Equations

Faruk Düşünceli & Ercan Çelik · Current Journal of Applied Science and Technology · 2015

In this paper, Legendre polynomials was used to get numerical solution of high-order linear complex differential equations in a circular domain. The solutions in the form of power series were obtained. The method was applied on three test problems. Obtained results demonstrated i...

Open access Research Article 10.9734/BJAST/2015/16690

Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential Equation

Emrah Ünal, Ahmet Gökdoğan & Ercan Çelik · Current Journal of Applied Science and Technology · 2015

In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous sequential linear conformable fractional differential equations of order 2α. Further, we introduce the conformable fractional Hermite differential equation...

Open access Research Article 10.9734/BJAST/2015/18590

Numerical Solution of Fractional Partial Differential-Algebraic Equation by Adomian Decomposition Method and Multivariate Pade Approximation

Gökçe Dilek Küçük, Muhammed Yigider & Ercan Çelik · Current Journal of Applied Science and Technology · 2014

In this study, Adomian Decomposition Method (ADM) and Multivariate Padé Approximation (MPA) are used to get solution of fractional partial differential algebraic equation (FPDAE).The solutions in the form of power series are obtained by using ADM first and then we get approximate...

Open access Research Article 10.9734/BJAST/2014/9941