In this paper, a wavelet-based approximation method is introduced for solving the Newell–
Whitehead (NW) and Allen–Cahn (AC) equations. To the best of our knowledge, until now …

In this paper, we have applied an accurate and efficient wavelet scheme (due to Legendre
polynomial) to find the numerical solutions for a set of coupled reaction–diffusion equations …

In this paper, we have applied an efficient wavelet-based approximation method for solving
the Fisher's type and the fractional Fisher's type equations arising in biological sciences. To …

Fractional reaction–diffusion equations serve as more relevant models for studying complex
patterns in several fields of nonlinear sciences. In this paper, we have developed the …

On numerical solution of fractional order delay differential equation using Chebyshev
collocation method Page 1 NTMSCI 6, No. 1, 8-17 (2018) 8 New Trends in Mathematical …

The theoretical model of Saranya et al.(Bioprocess Biosyst Eng 41: 281–294, 2017) glucose
oxidation and hydrogen peroxide production in the Chitosan-alginate microsphere …

In this paper, the solutions of linear and nonlinear FDEs with variable coefficients are
approximated. The approximate is based on Legendre wavelets with an operational matrix …

In this paper, a mathematical model of steady-state reaction–diffusion (RD) model for
estimating the concentration of species is discussed. We have applied a new wavelet-based …

In this paper, we have applied the wavelet based approximation method for solving wave-
type and fractional wave-type equations arising in ship dynamics. The basic idea of …

The main objective of this thesis is to develop numerical methods for solving nonlinear
fractional ordinary differential equations, nonlinear fractional partial differential equations …