A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution

Downloads

Abstract

A localized heat source moves with simple periodic motion along a one-dimensional reactive-diffusive medium. Blow-up will occur regardless of the amplitude or frequency of motion. Numerical results suggest that blow-up is delayed by increasing the amplitude or by increasing the frequency of motion. A brief survey is presented of the literature concerning numerical studies of nonlinear Volterra integral equations with weakly singular kernels that exhibit blow-up solutions.

Keywords

Moving heat source , blow-up , integral equations , numerical simulation
  • C.M. Kirk Department of Mathematics, California Polytechnic State University, San Luis Obispo, Ca 93407, USA.
  • Pages: 65–77
  • Date Published: 2009-08-01
  • Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

Published

2009-08-01

How to Cite

[1]
C. Kirk, “A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution”, CUBO, vol. 11, no. 3, pp. 65–77, Aug. 2009.

Issue

Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal

Section

Articles