Difference Scheme for Partial Differential Equations of Fractional Order with a Nonlinear Differentiation Operator
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Publisher
Springer International Publishing
Link
http://link.springer.com/content/pdf/10.1007/978-3-030-56323-3_50
Reference10 articles.
1. Gorbova, T.V., Pimenov, V.G., Solodushkin, S.I.: Difference schemes for the nonlinear equations in partial derivatives with heredity. In: Dimov, I., Farago, I., Vulkov, L. (eds.) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science, vol. 11386, pp. 258–265. Springer, Cham (2019)
2. Macias-Diaz, J., Hendy, A., De Staelen, R.: A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives. Comput. Phys. Commun. (2018). https://doi.org/10.1016/j.cpc.2017.11.008
3. Meerschaert, M.M., Tadjeran, C.: Finite difference approximations for two sided space fractional partial differential equations. Appl. Numer. Math. 65, 80–90 (2006)
4. Pimenov, V., Hendy, A.: An implicit numerical method for the solution of the fractional advectiondiffusion equation with delay. Trudy Instituta Matematiki i Mekhaniki UrO RAN (2016). https://doi.org/10.1007/s001090000086
5. Pimenov, V., Hendy, A.: A fractional analog of Crank-Nicholson method for the two sided space fractional partial equation with functional delay. Ural Math. J. (2016). https://doi.org/10.15826/umj.2016.1.005
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