Accession Number : AD0711666

Title :   A NEW ITERATIVE SCHEME FOR THE SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS.

Descriptive Note : Scientific rept.,

Corporate Author : NEW YORK UNIV BRONX DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : Kerr,Arnold D.

Report Date : APR 1970

Pagination or Media Count : 19

Abstract : A new iterative scheme for the solution of partial differential equations based on the principle of least squares is presented. The accuracy of a generated one term solution and its first derivatives is discussed using the Dirichlet problem for a rectangular domain (Torsion problem). It is found that the obtained approximation agrees closely with the exact solution, that the convergence of the iterative process is very rapid, and that the final form of the generated approximation does not depend upon the initial choice. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*ITERATIONS, CONVERGENCE), BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS), LEAST SQUARES METHOD, CALCULUS OF VARIATIONS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE