Numerical approximation of the insitu combustion model using the nonlinear mixed complementarity method
<|reference_start|>Numerical approximation of the insitu combustion model using the nonlinear mixed complementarity method: 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<|reference_end|>
@article{sangay2024numerical,
    title={Numerical approximation of the insitu combustion model using the
  nonlinear mixed complementarity method},
    author={Julio Cesar Agustin Sangay, Alexis Rodriguez Carranza, George J.
  Bautista, Juan Carlos Ponte Bejarano, Jose Luis Ponte Bejarano, and Eddy
  Cristiam Miranda Ramos},
    journal={arXiv preprint arXiv:2409.19502},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.19502},
    primaryClass={math.NA cs.NA}
}