arXiv:1304.0704 Abstract | arXiv Analytics

arXiv:1304.0704 [math.NA]Abstract References Reviews Resources

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

Published 2013-04-02Version 1

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.

Comments: 7 pages

Categories: math.NA, math-ph, math.MP

Subjects: 65R20, 65N55

Keywords: monotone domain decomposition iterative method, nonlinear integro-differential equation, volterra type, domain decomposition iterative scheme, convergence

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