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...
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| Published in | Abstract and Applied Analysis Vol. 2012; no. 1; pp. 1528 - 1536-298 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Hindawi Limiteds
01.01.2012
Hindawi Publishing Corporation John Wiley & Sons, Inc Wiley |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Ying-Zhen Lin Ming-Gen Cui Jing Niu |
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| Copyright | Copyright © 2012 Jing Niu et al. Copyright © 2012 Jing Niu et al. Jing Niu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Copyright 2012 Hindawi Publishing Corporation |
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| DOI | 10.1155/2012/414612 |
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| Snippet | We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel... We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel... |
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| SubjectTerms | Algorithms Approximation Boundary value problems Computer programs Finite element analysis Integrals Kernels Mathematical analysis Mathematical models Studies |
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| Title | Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations |
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