Published 2020
| Version v1
Journal article
Exact solutions of time-fractional generalised Burgers–Fisher equation using generalised Kudryashov method
- 1. Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001 (India)
- 2. Discrete Mathematics Laboratory, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001 (India)
- 3. Department of Physics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001 (India)
Description
This study deals with the generalised Kudryashov method (GKM) for the time-fractional generalised Burgers–Fisher equation (TF-GBF). Using the transformation of travelling wave, the TF-GBF is transformed into a non-linear ordinary differential equation (NLODE). Later, GKM has been applied in the resultant equation which is a novel technique to obtain exact solutions. These exact solutions are plotted and the power series solution is also derived. (author)
Additional details
Publishing Information
- Journal Title
- Pramana
- Journal Volume
- 94
- Journal Page Range
- 8 p.
- CODEN
- PRAMCI
INIS
- Country of Publication
- India
- Country of Input or Organization
- India
- INIS RN
- 51098666
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; GREEN FUNCTION; INTEGRAL EQUATIONS; LYAPUNOV METHOD; NONLINEAR PROBLEMS
- Descriptors DEC
- CALCULATION METHODS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION