Please use this identifier to cite or link to this item: 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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