On the computation of blow-up solutions for nonlinear Volterra integrodifferential equations

DOI10.1155/2012/878497zbMath1264.45013OpenAlexW1974163500WikidataQ58912610 ScholiaQ58912610MaRDI QIDQ1955316

Phumlani Goodwill Dlamini, Melusi Khumalo

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/878497

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Uses Software

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Cites Work

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• A quadrature method with variable step for solving linear Volterra integral equations of the second kind
• On the computation of blow-up
• A rescaling algorithm for the numerical calculation of blowing-up solutions
• Blow-up in Nonlocal Reaction-Diffusion Equations
• Moving Mesh Methods for Problems with Blow-Up
• A Method for Solving Nonlinear Volterra Integral Equations of the Second Kind

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