- Research Article
- 10.70382/tijsrat.v10i9.074
A MOVING MESH FINITE ELEMENT METHOD AND ITS APPLICATIONS IN MALARIA TRANSMISSION MODEL
- Dec 12, 2025
- International Journal of Science Research and Technology
- Anthony Udo Akpan + 3 more +3
The paper considered a moving mesh finite element method (MMFEM) in solving malaria transmission model that incorporates control strategies. The SEIR-styled reaction-diffusion governing PDE equations were cast into weak formulations to track the features of interest, specifically the disease dynamics. The numerical method involves discretising the spatial domain into finite elements (FEM) guided by appropriate basis function and time discretisation using the implicit (backward Euler) method which ensures unconditionally stable requirements and achieved through the geometric conservation approach via a suitable monitor function (M) and equidistributed so that the integral between M consecutive nodes are equal. The theoretical model was numerically validated to confirm the practical utility of the MMFEM numerical scheme under varying epidemiological scenarios. The validation confirms that the MMFEM approach provides a reliable, accurate, and stable framework for modelling vector-borne disease dynamics. A further research could explore the utility of the Physics Informed Neural Networks (PINNs) technique in solving the reaction-diffusion malaria transmission model which was not considered in this study.
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