Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value problem of parabolic equations with two-space integr...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/414612 |
| Summary: | We construct a novel reproducing kernel space and give the
expression of reproducing kernel skillfully. Based on the orthogonal basis of
the reproducing kernel space, an efficient algorithm is provided firstly to solve
a three-point boundary value problem of parabolic equations with two-space
integral condition. The exact solution of this problem can be expressed by
the series form. The numerical method is supported by strong theories. The
numerical experiment shows that the algorithm is simple and easy to implement
by the common computer and software. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |