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A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation
Published online by Cambridge University Press: 09 January 2015
Abstract
In this paper, a Cauchy problem of two-dimensional heat conduction equation is investigated. This is a severely ill-posed problem. Based on the solution of Cauchy problem of two-dimensional heat conduction equation, we propose to solve this problem by modifying the kernel, which generates a well-posed problem. Error estimates between the exact solution and the regularized solution are given. We provide a numerical experiment to illustrate the main results.
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- Copyright © Global Science Press Limited 2015
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