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Zbl 1231.41019
Wang, Yu-Lan; Chao, Lu
Using reproducing kernel for solving a class of partial differential equation with variable-coefficients. (English)
[J] Appl. Math. Mech., Engl. Ed. 29, No. 1, 129-137 (2008). ISSN 0253-4827; ISSN 1573-2754/e

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 2000:: *41A30 Approximation by other special function classes

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

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Zentralblatt MATH Berlin [Germany]