论文信息 - The Solution of Second Order Problems with a Symbolic-Numeric Method

The Solution of Second Order Problems with a Symbolic-Numeric Method

Advances in special purpose compilers and mathematical processors such as FORMAC, REDUCE, MACSYMA, and others have spurred the development of computational methods that employ on a computer both symbolic and numerical computations to obtain a solution to a problem. The particular symbolic-numeric algorithm that we will consider here is a series method for solving two-point boundary value problems which was proposed in [ 3 ] • We will discuss only the case of the so called "first boundary value problem" :

Andrew M. Olson | Andrew M. Olson

[1] Edward J. Beltrami,et al. An Algorithmic Approach to Nonlinear Analysis and Optimization , 1973 .

[2] Andrew M. Olson. A Two-Point Series Method for Two-Point Boundary Value Problems: Theoretical Foundation , 1977 .

[3] Philip Wolfe,et al. The Secant method for simultaneous nonlinear equations , 1959, CACM.

[4] R. McGill,et al. Solution of variational problems by means of a generalized newton-raphson operator , 1964 .