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A spectrally accurate time–space pseudospectral method for reaction–diffusion Malaria infection model

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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 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 to 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.

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Authors and Affiliations

  1. Discipline of Mathematics, IAR - Institute of Advanced Research, Gandhinagar, Gujarat, 382426, India

    A. K. Mittal

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  1. A. K. Mittal
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Correspondence to A. K. Mittal.

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Communicated by Carla M.A. Pinto.

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Mittal, A.K. A spectrally accurate time–space pseudospectral method for reaction–diffusion Malaria infection model. Comp. Appl. Math. 41, 390 (2022). https://doi.org/10.1007/s40314-022-02094-9

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  • DOI: https://doi.org/10.1007/s40314-022-02094-9

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