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Using reproducing kernel for solving a class of partial differential equation with variable-coefficients

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Abstract

How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducing kernel space. For getting the approximate solution, give an iterative method, convergence of the iterative method is proved. The numerical example shows that our method is effective and good practicability.

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Authors and Affiliations

  1. Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, P. R. China

    Wang Yu-lan  (王玉兰) & Chao Lu  (朝鲁)

Authors
  1. Wang Yu-lan  (王玉兰)
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  2. Chao Lu  (朝鲁)
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Corresponding author

Correspondence to Wang Yu-lan  (王玉兰).

Additional information

Communicated by GUO Xing-ming

Project supported by the National Natural Science Foundation of China (No. 10461005)

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Wang, Yl., Chao, L. Using reproducing kernel for solving a class of partial differential equation with variable-coefficients. Appl. Math. Mech.-Engl. Ed. 29, 129–137 (2008). https://doi.org/10.1007/s10483-008-0115-y

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  • DOI: https://doi.org/10.1007/s10483-008-0115-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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