Finite difference and finite element approximations for solving numerically the systems of partial differential equations, by which comprehensive models for studying complex environmental problems are studied, are proposed and discussed in this paper. First, we establish a minimum principle for the differential problem and then nonnegativity of the semidiscrete solutions. Algorithms of explicit-implicit and fully explicit schemes are realized for solution of the discrete systems. Numerical experiments are provided to illustrate the efficiency of the algorithms.
CITATION STYLE
Dimov, I., Kandilarov, J., Todorov, V., & Vulkov, L. (2019). Numerical analysis of a pollution and environment interaction model. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11189 LNCS, pp. 383–391). Springer Verlag. https://doi.org/10.1007/978-3-030-10692-8_43
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