University of Tabriz Computational Methods for Differential Equations 2345-3982 8 2 2020 04 01 Applying new wavelet transform method on the generalized-FKPP equation 259 267 10484 10.22034/cmde.2020.27832.1376 EN Hamid Yazdani Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran. Mehdi Nadjafikhah School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran. Journal Article 2018 06 10 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<br />  fu<sub>tt</sub>(x,t)+u<sub>t</sub>(x,t)=u<sub>xx</sub>(x,t)+u(x,t)-u<sup>2</sup>(x,t)<br /> where f is a smooth function of either x or t. We will see for suitable wavelets, this method proposes the interesting solutions. Wavelet Quasi-wavelet Mother wavelet The wavelet transform Differential invariants The GFKPP equation https://cmde.tabrizu.ac.ir/article_10484_0807cc296aace2d6d112de4f23b53452.pdf