scholarly journals An exact solution of a quasilinear Fisher equation in cylindrical coordinates

2008 ◽  
Vol 69 (12) ◽  
pp. 4803-4805 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
M.T. Mustafa ◽  
F.D. Zaman
Keyword(s):  
Exact Solution ◽  
Fisher Equation ◽  
Cylindrical Coordinates

scholarly journals Quasi Exact Solution of the Fisher Equation

2013 ◽  
Vol 04 (08) ◽  
pp. 7-12
Author(s):  
G. Dattoli ◽  
E. Di Palma ◽  
E. Sabia ◽  
S. Licciardi
Keyword(s):  
Exact Solution ◽  
Fisher Equation

An Exact Solution for Classic Coupled Thermoelasticity in Cylindrical Coordinates

2011 ◽  
Vol 133 (5) ◽  
Author(s):  
M. Jabbari ◽  
H. Dehbani ◽  
M. R. Eslami
Keyword(s):  
Exact Solution ◽  
Heat Source ◽  
Analytical Method ◽  
Loading Condition ◽  
Body Force ◽  
The Body ◽  
Cylindrical Coordinates ◽  
Coupled Thermoelasticity ◽  
Coupled Equations ◽  
Symmetric Loading

In this paper, the classic coupled thermoelasticity model of hollow and solid cylinders under radial-symmetric loading condition (r,t) is considered. A full analytical method is used, and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general forms, where no limiting assumption is used.

A numerical study by using the Chebyshev collocation method for a problem of biological invasion: Fractional Fisher equation

2018 ◽  
Vol 11 (08) ◽  
pp. 1850099 ◽  
Author(s):  
Mohamed M. Khader ◽  
Khaled M. Saad
Keyword(s):  
Numerical Simulation ◽  
Exact Solution ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Collocation Method ◽  
Numerical Study ◽  
Fisher Equation ◽  
Chebyshev Collocation Method ◽  
The Third ◽  
The Finite Difference Method

In this paper, an efficient numerical method is introduced for solving the fractional (Caputo sense) Fisher equation. We use the spectral collocation method which is based upon Chebyshev approximations. The properties of Chebyshev polynomials of the third kind are used to reduce the proposed problem to a system of ODEs, which is solved by the finite difference method (FDM). Some theorems about the convergence analysis are stated and proved. A numerical simulation is given and the results are compared with the exact solution.

An exact solution of Fisher equation and its stability

2006 ◽  
Vol 15 (7) ◽  
pp. 1414-1417 ◽  
Author(s):  
Duan Wen-Shan ◽  
Yang Hong-Juan ◽  
Shi Yu-Ren
Keyword(s):  
Exact Solution ◽  
Fisher Equation
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