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https://hdl.handle.net/11499/6055
Title: | Differential quadrature solutions of the generalized burgers-fisher equation with a strong stability preserving high-order time integration | Authors: | Sarı, Murat | Keywords: | Differential Quadrature Method Generalized Burgers-Fisher Equation Nonlinear PDE Strong Stability Preserving Runge-Kutta Approximate solution Burgers-Fisher equation Computational effort Differential quadrature Differential quadrature methods Exact solution High-order Non linear PDE Numerical approximations Numerical solution Runge-Kutta Strong stability preserving Third-order Time integration Differentiation (calculus) Numerical methods Polynomials Runge Kutta methods Stability Nonlinear equations |
Abstract: | Numerical solutions of the generalized Burgers-Fisher equation are presented based on a polynomial-based differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a third-order strong stability preserving Runge-Kutta scheme in time have been used. The proposed technique successfully worked to give reliable results in the form of numerical approximation converging very rapidly. The computed results have been compared with the exact solution to show the required accuracy of the method. The approximate solutions to the nonlinear equations were obtained. The approach is seen to be a very reliable alternative to the rival techniques for realistic problems. Copyright © Association for Scientific Research. | URI: | https://hdl.handle.net/11499/6055 | ISSN: | 1300-686X |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection |
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9c0bd798-64d4-4032-9cc6-632b4f5fb571.pdf | 156.2 kB | Adobe PDF | View/Open |
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