Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011617 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 25 Pages |
Abstract
In this paper, we pursue the general form of the fractional reduced differential transform method (DTM) to (N+1)-dimensional case, so that fractional order partial differential equations (PDEs) can be resolved effectively. The most distinct aspect of this method is that no prescribed assumptions are required, and the huge computational exertion is reduced and round-off errors are also evaded. We utilize the proposed scheme on some initial value problems and approximate numerical solutions of linear and nonlinear time fractional PDEs are obtained, which shows that the method is highly accurate and simple to apply. The proposed technique is thus an influential technique for solving the fractional PDEs and fractional order problems occurring in the field of engineering, physics etc. Numerical results are obtained for verification and demonstration purpose by using Mathematica software.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Muhammad Arshad, Dianchen Lu, Jun Wang,