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泊松(Poisson)方程特解的待定函数解法
Method of Undetermined Function for Finding Special Solution to Poisson Equation
【摘要】 针对物理学和工程技术理论中,有许多典型问题都可归结为泊松(Poisson)方程的边值问题,介绍了当泊松方程的右端函数f呈现某些特殊形式时,可用待定函数的方法寻求它的特解,从而能简便的求解泊松方程的边值问题。
【Abstract】 Directing against many typical problems on physics and engineering technical theory,that can be reduced to the boundry value problem of Poisson equation,the description was given if the right-hand fuction f(x,y) presents itself in some special form in Poisson equations,special solutions can be found by using undetermined function methed.Thus,the boundary value problems on Poisson equations can be simply found.
【关键词】 泊松方程;
特解;
待定函数法;
分离变量法;
【Key words】 ecial solution; undetermined functPoisson equqtion; spion method; variable separation methed;
【Key words】 ecial solution; undetermined functPoisson equqtion; spion method; variable separation methed;
【基金】 辽宁省教育厅基金资助项目(2004c057)
- 【文献出处】 辽宁工学院学报 ,Journal of Liaoning Institute of Technology , 编辑部邮箱 ,2006年01期
- 【分类号】O174
- 【被引频次】3
- 【下载频次】365