Abstract—We establish theoretical and numerical analysis such as existence and uniqueness of solutions, asymptotic behavior to the energy and numerical discretization by Finite difference and Finite element methods to a nonlinear diffusion equation with nonlinearities local and nonlocal.
Index Terms—Nonlinear diffusion equation, global solution, B-spline polynomial, finite element method, numerical solution.
H. R. Clark is with Instituto de Matemática, Universidade Federal Fluminense, Brazil (e-mail: haroldoclark1@gmail.com).
M. A. Rincon and D. G. Alfaro Vigo are with Instituto de Matemática, Universidade Federal do Rio de Janeiro, Brazil (e-mail: rincon@dcc.ufrj.br, dgalfaro@dcc.ufrj.br).
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Cite:H. R. Clark, M. A. Rincon, and D. G. Alfaro Vigo, "Analysis and Numerical Simulation of A Nonlinear Diffusion Equation," International Journal of Modeling and Optimization vol. 3, no. 3, pp. 278-282, 2013.
