A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable

Lok Pati Tripathi, Amiya K. Pani () and Graeme Fairweather
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Lok Pati Tripathi: IIT Goa, Department of Mathematics
Amiya K. Pani: IIT Bombay, Department of Mathematics, Industrial Mathematics Group
Graeme Fairweather: American Mathematical Society, Mathematical Reviews

A chapter in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, 2018, pp 1147-1174 from Springer

Abstract: Abstract In this article, a qualocation method is formulated and analyzed for parabolic partial integro-differential equations in one space variable. Using a new Ritz–Volterra type projection, optimal rates of convergence are derived. Based on the second-order backward differentiation formula, a fully discrete scheme is formulated and a convergence analysis is derived. Results of numerical experiments are presented which support the theoretical results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-72456-0_53

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DOI: 10.1007/978-3-319-72456-0_53

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