A New Optimal $$L^{\infty }(H^1)$$–Error Estimate of a SUSHI Scheme for the Time Fractional Diffusion Equation
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Springer International Publishing
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https://link.springer.com/content/pdf/10.1007/978-3-030-43651-3_27
Reference12 articles.
1. Bradji, A.: A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations. Comput. Math. Appl. 79(2), 500–520 (2020)
2. Bradji, A.: A second order time accurate SUSHI method for the time-fractional diffusion equation. In: Nikolov, G. et al. (ed.) Numerical Methods and Applications. 9th International Conference, NMA 2018, Borovets, Bulgaria, August 20–24, 2018. Revised Selected Papers. Lecture Notes in Computer Science, vol. 11189, pp. 197-206. Cham: Springer (2019)
3. Bradji, A.: Notes on the convergence order of gradient schemes for time fractional differential equations. C. R. Math. Acad. Sci. Paris 356(4), 439–448 (2018)
4. Bradji, A., Fuhrmann, J.: Convergence order of a finite volume scheme for the time-fractional diffusion equation. In: Numerical Analysis and Its Applications. Lecture Notes in Computer Science, vol. 10187, pp. 33–45. Springer, Cham (2017)
5. Bradji, A., Fuhrmann, J.: Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. Appl. Math. 58(1), 1–38 (2013)
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. SUSHI for a Non-linear Time Fractional Diffusion Equation with a Time Independent Delay;Numerical Methods and Applications;2023
2. Convergence Analysis of a Finite Volume Scheme for a Distributed Order Diffusion Equation;Numerical Methods and Applications;2023
3. An $$L^\infty (H^1)$$-Error Estimate for Gradient Schemes Applied to Time Fractional Diffusion Equations;Springer Proceedings in Mathematics & Statistics;2023
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