Applied Mathematics and Mechanics

, Volume 29, Issue 1, pp 129–137

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

• Wang Yu-lan  (王玉兰)
• Chao Lu  (朝鲁)
Article

## 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.

## Key words

iterative method exact solution approximate solution variable-coefficient partial differential equation reproducing kernel

O175.2

41A30

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© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008

## Authors and Affiliations

1. 1.Department of MathematicsInner Mongolia University of TechnologyHohhotP. R. China