کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1709146 | 1012843 | 2008 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Approximate solution to an integral equation with fixed singularity for a cruciform crack Approximate solution to an integral equation with fixed singularity for a cruciform crack](/preview/png/1709146.png)
A novel method for determining an approximate solution to an integral equation with fixed singularity is presented. This integral equation is encountered in solving a cruciform crack. On the basis of Taylor’s series for the unknown function, the integral equation can be transformed to a system of linear equations for the unknown and its derivatives when neglecting a sufficiently small quantity. Moreover, the nnth-order approximation obtained is exact for a solution of a polynomial of degree less than or equal to nn. The proposed method is simple, fast, and can be performed by symbolic computation using any personal computer. A test example is given to indicate the efficiency of the method. This method is also applicable to a variety of integral equations.
Journal: Applied Mathematics Letters - Volume 21, Issue 12, December 2008, Pages 1238–1244