Using reproducing kernel for solving a class of partial differential equation with variable-coefficients
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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 wordsiterative method exact solution approximate solution variable-coefficient partial differential equation reproducing kernel
Chinese Library ClassificationO175.2
2000 Mathematics Subject Classification41A30
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- Du Hong, Cui Minggen. Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space[J]. Applied Mathematics Letters (in press), doi:10.1016/j.aml.2007.07.014.Google Scholar