Wavelet method is a recently developed tool in applied mathematics. Investigation of various
wavelet methods, for its capability of analyzing various dynamic phenomena through waves …

In this article, the considered problem of Cauchy reaction diffusion equation of fractional
order is solved by using integral transform of Laplace coupled with decomposition technique …

This paper presents a new method for solving higher order nonlinear evolution partial
differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev …

In this paper, He's variational iteration method (VIM) is applied to the generalized Burgers–
Huxley equation. The VIM produces an approximate solution of the equation without any …

In this paper, an efficient numerical method for the solution of nonlinear partial differential
equations based on the Haar wavelets approach is proposed, and tested in the case of …

In this paper, we investigate a spatially two-dimensional Burgers–Huxley equation that
depicts the interaction between convection effects, diffusion transport, reaction gadget, nerve …

Although being powerful, the differential transform method (DTM) yet suffers from a
drawback which is the lack of a systematic methodology for derivation of the differential …

In this work, we study the time fractional generalized Burgers–Huxley equation with
Riemann–Liouville derivative via Lie symmetry analysis and power series expansion …

In this research work, we propose an algorithm which involves the coupling of a new integral
transform called the Elzaki transform and the well-known homotopy perturbation method on …

The generalized Burger-Huxley equation (gBH) with fractional derivative is considered to
provide some characteristics of memory embedded into the system. The modified model is …