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 …

This work aims to propose a new analyzing tool, called the fractional iteration algorithm I for
finding numerical solutions of nonlinear time fractional-order Cauchy reaction-diffusion …

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 …

The well-known generalized Benjamin–Bona–Mahony–Burgers (gBBMB) equation is widely
used in the fluid mechanics, but it becomes invalid under the non-smooth boundary. So this …

Under the non-smooth condition, many theories obtained by the assumption on the smooth
condition become invalid, so a generalized Burgers–Huxley equation (GBHE) with fractal …

In this paper, the solution of Cauchy reaction–diffusion problem is presented by means of
variational iteration method. Reaction–diffusion equations have special importance in …

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 article, we apply the Daftardar‐Gejji and Jafari method (DJM) to solve the
multispecies Lotka–Volterra equation. A comparison between the DJM, differential …

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

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