Stability and convergence analysis of a one step approximation of a linear partial integro‐differential equation | Zendy

Bhowmik Samir Kumar | Zendy

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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

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