| 摘要 |
Disclosed is a design aiding computer program which obtains an algebraic expression of an equation with an unknown function, visualizes a partial space ("reasonable area") in which a boundary condition or so is permitted, and acquires a point in the reasonable area which minimizes an approximate error as a solution of the equation. The computer program includes a first procedure of inputting an unknown function u, an initial condition and a boundary condition, a second procedure of approximating the unknown function u by linear combination of an orthonomal basis, a third procedure of generating an algebraic expression having a linear combination constant included in the linear combination as a root, a fourth procedure of expressing the initial condition and the boundary condition with the orthonomal bases to acquire at least one restriction condition, a fifth procedure of acquiring a root of the algebraic expression under the at least one restriction condition, and a sixth procedure of determining whether or not the root minimizes the error of the algebraic expression, wherein the root is taken as a solution of the equation when it is determined that the error is a minimum, and the computer program returns to the fifth procedure when it is determined that the error is not a minimum. |
