Monotone Domain Decomposition Iterative Method and its Convergence for a Nonlinear Integro-Differential Equation of Volterra Type
Numerical Analysis
2013-04-03 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1304.0704,
title = {Monotone Domain Decomposition Iterative Method and its Convergence for a Nonlinear Integro-Differential Equation of Volterra Type},
author = {Myong-Gil Rim and Dong-Hyok Kim},
journal= {arXiv preprint arXiv:1304.0704},
year = {2013}
}
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7 pages