Numerical approximation of the insitu combustion model using the nonlinear mixed complementarity method
Numerical Analysis
2024-10-01 v1 Numerical Analysis
Abstract
In this work, we will study a numerical method that allows finding an approximation of the exact solution for a in-situ combustion model using the nonlinear mixed complementary method, which is a variation of the Newtons method for solving nonlinear systems based on an implicit finite difference scheme and a nonlinear algorithm mixed complementarity, FDA-MNCP. The method has the advantage of provide a global convergence in relation to the finite difference method and method of Newton that only has local convergence. The theory is applied to model in-situ combustion, which can be rewritten in the form of mixed complementarity also we do a comparison with the FDA-NCP method
Cite
@article{arxiv.2409.19502,
title = {Numerical approximation of the insitu combustion model using the nonlinear mixed complementarity method},
author = {Julio Cesar Agustin Sangay and Alexis Rodriguez Carranza and George J. Bautista and Juan Carlos Ponte Bejarano and Jose Luis Ponte Bejarano and Eddy Cristiam Miranda Ramos},
journal= {arXiv preprint arXiv:2409.19502},
year = {2024}
}
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17 Pages