The quasilinearization method in the system of reaction diffusion equations

@article{Jiang1998TheQM,
  title={The quasilinearization method in the system of reaction diffusion equations},
  author={Jiahui Jiang and A. S. Vatsala},
  journal={Applied Mathematics and Computation},
  year={1998},
  volume={97},
  pages={223-235}
}
In this paper the method of generalized quasilinearization has been extended to system of reaction diffusion equations with initial and boundary conditions. Quadratic convergence of the sequences of lower and upper solutions to the unique solution of the nonlinear system of reaction diffusion equations has been proved. This has been achieved by using a… CONTINUE READING