Symmetric marching technique for the numerical solution of nonseparable elliptic equations

摘要

We have developed two methods for the nonseparable elliptic equations of the type ▿[middot](a▿u)=f, based on the extension of the symmetric marching technique developed in [2]. In method I, symmetric marching has been applied to carry out the iterations in the iterative scheme developed by Concus and Golub [3]. Method II is a noniterative method based on the direct extension of symmetric marching to the above problem. Numerical results are given to illustrate the behavior of the two methods.