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DOI码：10.1080/00207160.2025.2524009

发表刊物：International Journal of Computer Mathematics

关键字：Time-fractional Burgers-Fisher equation graded mesh cut-off function method stability and convergence

摘要：In this paper, we investigate a numerical method for time-fractional Burgers-Fisher equation with initial singularity. Initially, the Caputo fractional derivative and the spatial derivative are discretized by the L2-1σ formula on a time-graded mesh and the central difference formula, respectively. We also employ the Newton linearization method to handle the nonlinear term. Subsequently, we analyze the existence of the numerical solution using the Browder fixed point theorem. Based on the cut-off function technique, the stability and convergence of the scheme are obtained by the energy method. The theoretical results indicate that the proposed scheme can achieve second-order accuracy in both time and space with an appropriate choice of graded mesh. Ultimately, numerical experiments are conducted to demonstrate the feasibility and efficiency of our method.

论文类型：期刊论文

学科门类：理学

是否译文：否

发表时间：2025-06-13

收录刊物：SCI