Ratesh Kumar
Department of Mathematics, Lovely Professional University, Punjab-144411, India.

Sonia Arora
Department of Mathematics, Lovely Professional University, Punjab-144411, India.

DOI https://doi.org/10.33889/IJMEMS.2022.7.5.047

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Abstract

The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation. Haar scale-3 wavelets are employed to space and time derivatives approximation involved in the system. The collocation approach is applied with space and time variables discretization to construct an implicit and explicit numerical scheme for the reaction-diffusion system. We have used various numerical problems containing non-linearity and different source term to inquest the exactness, efficiency and authenticity of the proposed numerical strategy. In addition, the obtained results are graphically displayed and systematized. Even with a small number of collocation Points, we attain accuracy using the presented technique.

Keywords- Fisher KPP; Haar Scale-3; Collocation points; Reaction-diffusion system.

Citation

Kumar, R., & Arora, S. (2022). Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method. International Journal of Mathematical, Engineering and Management Sciences, 7(5), 717-729. https://doi.org/10.33889/IJMEMS.2022.7.5.047.