Numerical convergence of a one step approximation of an intrgro-differential equation
arXiv:1005.53445 citationsh-index: 14
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Provides a theoretical convergence analysis for a numerical method applied to a specific class of integro-differential equations, which is incremental for researchers in numerical analysis.
The paper analyzes the numerical stability and convergence of a one-step approximation for a linear partial integro-differential equation in a periodic domain, proving convergence for smooth and non-smooth initial functions.
We consider a linear partial integro-differential equation that arises in the modeling of various physical and biological processes. We study the problem in a spatial periodic domain. We analyze numerical stability and numerical convergence of a one step approximation of the problem with smooth and non-smooth initial functions.