On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method

Hashemi, Mir Sajjadİnç, MustafaParto-Haghighi, MohammadBayram, Mustafa2023-11-272023-11-2720192190-5444https://hdl.handle.net/11363/6541https://doi.org/In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ? to convert the related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of the given method.eninfo:eu-repo/semantics/openAccessLIE SYMMETRY ANALYSISDIFFERENTIAL-EQUATIONSFUNDAMENTAL-SOLUTIONSBOUSSINESQSOLVEOn numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration methodArticle134101810.1140/epjp/i2019-12845-12-s2.0-85073188387Q2WOS:000489018000001Q1