Browsing by Author "Çelik, Ercan"
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Article Application of muntz-legendre polynomials for solving complex differential equations(Sigma Journal of Engineering and Natural Sciences, 2021) Düşünceli, Faruk; Çelik, Ercan; 04.01. Department of Economics / İktisat Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu ÜniversitesiThis paper has obtained the numerical solutions of complex differential equations using the Müntz-Legendre Polynomials. The technique was performed on test problem. Then, different technical error analyses were applied to the test problem. Finally, when exact solutions and numerical solutions were compared with tables and graphs, it was realized that our method is practical and reliable.Article Citation - WoS: 31Citation - Scopus: 35New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method(Indian Journal of Physics, 2021) Düşünceli, Faruk; Çelik, Ercan; Askin, Muzaffer; Bulut, Hasan; 04.01. Department of Economics / İktisat Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu ÜniversitesiIn this study, the doubly dispersive equation is presented by the application of the improved Bernoulli sub-equation function method (IBSEFM). The doubly dispersive equation which is a nonlinear partial differential equation is transformed into nonlinear ordinary differential equation using a wave transformation and then is solved by IBSEFM. Some new solutions are successfully constructed. All the obtained solutions in this study have been satisfied the doubly dispersive equation. In the present study, we have used Wolfram Mathematica 9 software for all of the computations and graphic plottings.Article Numerical Solution for High-Order Linear Complex Differential Equations By Hermite Polynomials(2017) Düşünceli, Faruk; Çelik, Ercan; 04.01. Department of Economics / İktisat Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu ÜniversitesiBu 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
