期刊
EUROPEAN PHYSICAL JOURNAL PLUS
卷 134, 期 10, 页码 -出版社
SPRINGER HEIDELBERG
DOI: 10.1140/epjp/i2019-12845-1
关键词
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.In this work we offer a robust numerical algorithm based on the Lie group to solve the time-fractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable xi 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.
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