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| Discrete orthogonal point analysis of discrete orthogonal method and program design |
| Revised:August 21, 2004 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20066127 |
| KeyWord:discrete orthogonal method,boundary value problem,ordinary differential equation,numerical method. |
| BAI Xiang-zhong TIAN Zhen-guo |
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| Abstract: |
| The orthogonal analysis of discrete points in a numerical method,discrete orthogonal method(DOM),which can be used to solve a series of boundary value problem of ordinary differential equations,is presented in this paper.The principle of program design and the flow chart of numerical computation are shown here.It indicates that the DOM conquers the disadvantage of traditional method,which often caused boundary and local effects due to the fast increasing of the value of a function.The possibility of stable calculation is illustrated.For generalizing application,the basic principle,fulfillment method and the performance progress of DOM are introduced.The treatment to solve non-linearly problem with DOM is discussed.An example of an annular plate applied equally distributed load is presented,and the calculation results obtained by DOM and traditional method respectively are compared. |
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