Stability Analysis of the Numerical Solution of the Generalised Burgers’ Equation Using Finite Difference Methods
DOI:
https://doi.org/10.32792/jeps.v15i4.745Keywords:
Generalised Fisher equation, numerical solution, explicit method, Crank-Nicholson method, convergence analysis.Abstract
Stability analysis of the explicit Euler, backward Euler and Crank-Nicholson finite differences methods for solving the generalised Burgers equation using Fourier (von-Neumann) method is studied. The results demonstrated that the forward Euler scheme is conditionally stable, while Crank-Nicholson and implicit schemes are unconditionally stable.
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