A spectrally accurate time-space pseudospectral method for
reaction-diffusion Malaria infection model
- AVINASH MITTAL
Abstract
Malaria is a possibly dangerous infection brought about by a parasite.
This infection is more normal in nations with heat and humidities.
Because of chromosomal changes, the elements of malaria parasites are
very mind-boggling to study up just as for any predictions. A
reaction-diffusion model to characterize the elements inside have
Malaria contamination with versatile safe reactions is concentrated in
this paper. The aim of the paper is to develop and analyze a spectrally
accurate pseudospectral method in time and space to find the approximate
solution of the reaction-diffusion model. The approximate solution is
represented in terms of basis functions. The spectral coefficients are
found in such a way that the residual becomes minimum. Error estimates
for interpolating polynomials are derived. The computational experiments
are carried out to corroborate the theoretical results and to compare
the present method with existing methods in the literature. The
registered mathematical outcomes are in great concurrence with those
generally accessible in the writing. Simple to apply and accomplish
exact arrangement in less time is the solid place of the current
strategy.