MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION
نویسندگان
چکیده
منابع مشابه
Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions
*Correspondence: [email protected] 2School of Science, Jiangnan University, Lihu Road, Wuxi, 214122, China Full list of author information is available at the end of the article Abstract In the study of pattern formation in bi-stable systems, the extended Fisher-Kolmogorov (EFK) equation plays an important role. In this paper, a Fourier pseudo-spectral method for solving the EFK equation in ...
متن کاملMixed Fourier-generalized Jacobi Rational Spectral Method for Two-dimensional Exterior Problems
In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for two-dimensional exterior problems. Some basic results on the mixed Fourier-generalized Jacobi rational orthogonal approximations are established. Two model problems are considered. The convergence for the linear problem is proved. Numerical results demonstrate its spectral accuracy and efficiency.
متن کاملFourier spectral method for the modified Swift-Hohenberg equation
*Correspondence: [email protected] 1College of Mathematics, Jilin University, Changchun, 130012, China Full list of author information is available at the end of the article Abstract In this paper, we consider the Fourier spectral method for numerically solving the modified Swift-Hohenberg equation. The semi-discrete and fully discrete schemes are established. Moreover, the existence, uniqueness a...
متن کاملThe Fourier spectral method for the Cahn-Hilliard equation
In this paper, a Fourier spectral method for numerically solving Cahn-Hilliard equation with periodic boundary conditions is developed. We establish their semi-discrete and fully discrete schemes that inherit the energy dissipation property and mass conservation property from the associated continuous problem. we prove existence and uniqueness of the numerical solution and derive the optimal er...
متن کاملThe spectral iterative method for Solving Fractional-Order Logistic Equation
In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2018
ISSN: 1392-6292,1648-3510
DOI: 10.3846/mma.2018.016