Applied Mathematics and Mechanics

, Volume 24, Issue 12, pp 1431–1440

# Multiple reciprocity method with two series of sequences of high-order fundamental solution for thin plate bending

• Ding Fang-yun
• Ding Rui
• Li Bing-jie
Article

## Abstract

The boundary value problem of plate bending problem on two-parameter foundation was discussed. Using two series of the high-order fundamental solution sequences, namely, the fundamental solution sequences for the multi-harmonic operator and Laplace operator, applying the multiple reciprocity method (MRM), the MRM boundary integral equation for plate bending problem was constructed. It proves that the boundary integral equation derived from MRM is essentially identical to the conventional boundary integral equation. Hence the convergence analysis of MRM for plate bending problem can be obtained by the error estimation for the conventional boundary integral equation. In addition, this method can extend to the case of more series of the high-order fundamental solution sequences.

## Key words

plate bending problem multiple reciprocity method boundary integral equation high-order fundamental solution sequence

O175.8

## 2000 Mathematics Subject Classification

65M28 65N38 74S15

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© Editorial Committee of Applied Mathematics and Mechanics 2003

## Authors and Affiliations

• Ding Fang-yun
• 1
• Ding Rui
• 2
• Li Bing-jie
• 1
1. 1.Department of MathematicsLanzhou UniversityLanzhouP.R. China
2. 2.School of Mathematical SciencesSuzhou UniversitySuzhouP.R. China