This study employs the cubic B-spline collocation strategy to address the solution challenges posed for 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 space domain and second-order convergence along temporal domain. The results are validated by taking number of examples. MATLAB 2017 is used for computational work.
Kukreja, V. K., & ., S. (2024). Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.49824.2071
MLA
Vijay Kumar Kukreja; Shallu .. "Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem". Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.49824.2071
HARVARD
Kukreja, V. K., ., S. (2024). 'Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.49824.2071
VANCOUVER
Kukreja, V. K., ., S. Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem. Computational Methods for Differential Equations, 2024; (): -. doi: 10.22034/cmde.2024.49824.2071
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