The numerous methods for solving differential equations exist, every method have benefits and drawbacks, in this field, the combined methods are very useful, one of them is the wavelet transform method (WTM). This method based on the wavelets and corresponding wavelet transform, that dependent on the differential invariants obtained by the Lie symmetry method. In this paper, we apply the WTM on the generalized version of FKPP equation (GFKPP) with non-constant coefficient futt(x,t)+ut(x,t)=uxx(x,t)+u(x,t)-u2(x,t) where f is a smooth function of either x or t. We will see for suitable wavelets, this method proposes the interesting solutions.
Yazdani, H., & Nadjafikhah, M. (2020). Applying new wavelet transform method on the generalized-FKPP equation. Computational Methods for Differential Equations, 8(2), 259-267. doi: 10.22034/cmde.2020.27832.1376
MLA
Hamid Yazdani; Mehdi Nadjafikhah. "Applying new wavelet transform method on the generalized-FKPP equation". Computational Methods for Differential Equations, 8, 2, 2020, 259-267. doi: 10.22034/cmde.2020.27832.1376
HARVARD
Yazdani, H., Nadjafikhah, M. (2020). 'Applying new wavelet transform method on the generalized-FKPP equation', Computational Methods for Differential Equations, 8(2), pp. 259-267. doi: 10.22034/cmde.2020.27832.1376
VANCOUVER
Yazdani, H., Nadjafikhah, M. Applying new wavelet transform method on the generalized-FKPP equation. Computational Methods for Differential Equations, 2020; 8(2): 259-267. doi: 10.22034/cmde.2020.27832.1376
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