Abstract
We introduce a novel approach to obtain an approximate solution to time-fractional biological population diffusion equation. A very recent technique based on the generalized Taylor series called "Residual Power Series (RPS)" is extended to handle this (2+1)-dimensional model. A detailed description of the method is given and the results thus obtained reveal that RPS is a power and efficient method for exploring nonlinear diffusive fractional models.
Original language | English |
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Pages (from-to) | 31-39 |
Number of pages | 9 |
Journal | Nonlinear Studies |
Volume | 22 |
Issue number | 1 |
Publication status | Published - 2015 |
Keywords
- Diffusion equation
- Generalized Taylor series
- Malthusian law
- Residual power series
- Verhulst law
ASJC Scopus subject areas
- Modelling and Simulation
- Applied Mathematics