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Stability and convergence analysis of a one step approximation of a linear partial integro‐differential equation
Author(s) -
Bhowmik Samir Kumar
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20576
Subject(s) - mathematics , convergence (economics) , partial differential equation , stability (learning theory) , first order partial differential equation , partial derivative , numerical stability , differential equation , integro differential equation , mathematical analysis , numerical analysis , computer science , machine learning , economics , economic growth
We study a linear partial integro‐differential equation which arises in the modeling of various physical and biological sciences. We analyze numerical stability and numerical convergence of a one step approximation of the problem with smooth and non‐smooth initial functions. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1179–1200, 2011