Wednesday, April 3, 2013

1304.0704 (Myong-Gil Rim et al.)

Monotone Domain Decomposition Iterative Method and its Convergence for a
Nonlinear Integro-Differential Equation of Volterra Type

Myong-Gil Rim, Dong-Hyok Kim
We apply the monotone domain decomposition iterative method to a nonlinear integro-differential equation of Volterra type and prove its convergence. To do this, by adding a term in both sides of the original equation we make a linear equation to get a monotone domain decomposition iterative scheme and prove the existence, uniqueness and convergence of iterative solutions.
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