@Article{cmc.2013.034.143,
AUTHOR = {Chih-Wen  Chang, Chein-Shan  Liu},
TITLE = {A New Optimal Iterative Algorithm for Solving Nonlinear Poisson Problems in Heat Diffusion},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {34},
YEAR = {2013},
NUMBER = {2},
PAGES = {143--175},
URL = {http://www.techscience.com/cmc/v34n2/22663},
ISSN = {1546-2226},
ABSTRACT = {The nonlinear Poisson problems in heat diffusion governed by elliptic type partial differential equations are solved by a modified globally optimal iterative algorithm (MGOIA). The MGOIA is a purely iterative method for searching the solution vector x without using the invert of the Jacobian matrix D. Moreover, we reveal the weighting parameter αc in the best descent vector w = αcE + DTE and derive the convergence rate and find a criterion of the parameter γ. When utilizing αc and γ, we can further accelerate the convergence speed several times. Several numerical experiments are carefully discussed and validated the proposed method.},
DOI = {10.3970/cmc.2013.034.143}
}