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A Modified KernelMethod for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation 被引量:1

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摘要 In this paper,a Cauchy problem of two-dimensional heat conduction equation is investigated.This is a severely iⅡ-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.
出处 《Advances in Applied Mathematics and Mechanics》 SCIE 2015年第1期31-42,共12页 应用数学与力学进展(英文)
基金 supported by the National Natural Science Foundation of China(11101109,11271102)and the Natural Science Foundation of Heilongjiang Province of China(A201107).
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