August 12, 2024The Journal of Difference Equations and Applications

Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation

View Full Paper

Ask AI

Bookmark

Three-level linearized difference schemes achieve second-order temporal convergence for the Burgers-Fisher equation, ensuring unique solvability under Dirichlet boundary values.
Spatial accuracy improves to fourth order using a compact difference scheme, while discrete energy arguments confirm unconditional convergence alongside discrete conservation laws.
Rigorous numerical tests verify computational efficiency across periodic boundaries, and Taylor expansion effectively resolves coupled nonlinearities without iterative solvers.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

Theoretical analysis demonstrates unconditional convergence of three-level linearized difference schemes for the Burgers-Fisher equation, highlighting efficient high-order accuracy.

Cite This Study

Gao et al. (2024) studied this question.

synapsesocial.com/papers/68e5ca72b6db643587560c4d https://doi.org/10.1080/10236198.2024.2388780

View Full Paper

Ask AI

Bookmark

Implication

Theoretical analysis demonstrates unconditional convergence of three-level linearized difference schemes for the Burgers-Fisher equation, highlighting efficient high-order accuracy.

Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation

Key Points

Discussion

Implication

Cite This Study

Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider