## Using reproducing kernel for solving a class of partial differential equation with variable-coefficients.(English)Zbl 1231.41019

Summary: 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.

### MSC:

 41A30 Approximation by other special function classes
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### References:

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