Programs
- M. Tech. in Automotive Engineering -
- Fellowship In Interventional Pulmonology and Pulmonary Critical care - Fellowship
Publication Type : Journal Article
Publisher : Communications in Nonlinear Science and Numerical Simulation
Source : Communications in Nonlinear Science and Numerical Simulation, 111 (2022), 106436, Elsevier. [SCI, Impact factor: 4.260]
Url : https://www.sciencedirect.com/science/article/abs/pii/S1007570422001083
Campus : Coimbatore
School : School of Engineering
Department : Mathematics
Year : 2022
Abstract : In this paper, we generalize the theory of the invariant subspace method to -dimensional non-linear time-fractional partial differential equations for the first time. More specifically, the applicability and efficacy of the method have been systematically investigated through the -dimensional generalized non-linear time-fractional diffusion–convection-wave equation along with appropriate initial conditions. This systematic investigation provides an important technique for finding a large class of various types of invariant subspaces with different dimensions for the above-mentioned equation. Additionally, we have shown that the obtained invariant subspaces help to derive a variety of exact solutions that can be expressed as the combinations of exponential, trigonometric, polynomial and well-known Mittag-Leffler functions.
Cite this Research Publication : P. Prakash, K.S. Priyendhu, M. Lakshmanan, Invariant subspace method for (m + 1)- dimensional non-linear time-fractional partial differential equations, Communications in Nonlinear Science and Numerical Simulation, 111 (2022), 106436, Elsevier. [SCI, Impact factor: 4.260]