Highly accurate spline collocation technique for the numerical solution of generalized Burgers-Fisher’s problem
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
This study employs the cubic B-spline collocation strategy to address the solution challenges posed by the nonlinear generalized Burgers-Fisher’s equation (gBFE), with some improvisation. This approach incorporates refinements within the spline interpolants, resulting in enhanced convergence rates along the spatial dimension. Temporal integration is achieved through the Crank-Nicolson methodology. The stability of the technique is assessed using the rigorous von Neumann method. Convergence analysis based on Green’s function reveals a fourth-order convergence along the space domain and a second-order convergence along the temporal domain. The results are validated by taking a number of examples. MATLAB 2017 is used for computational work.
Keywords:
Language:
English
Published:
Computational Methods for Differential Equations, Volume:13 Issue: 2, Spring 2025
Pages:
578 to 591
https://www.magiran.com/p2840673