Method for solving gradient beam with bidirectional gradient function and implementation algorithm

• Main Authors: LI FENGMING, ZENG ZHAOWEI, YUE YUAN, CHEN CHEN, GUO QILEI, ZHANG XIAORUI, ZHU XIANFEI, MA HANPENG, SUN PENG
• Format: Patent
• Language: Chinese; English
• Published: 19.03.2024
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC DIGITAL DATA PROCESSING; PHYSICS

The invention discloses a method for solving a two-way gradient functional gradient beam and an implementation algorithm. The method comprises the following steps: S1, establishing a variable coefficient partial differential equation of an original problem; s2, introducing a dimensionless perturbation small parameter, and constructing an equation with the perturbation small parameter; the dimensionless perturbation small parameter is generally expressed as epsilon, and the epsilon is used for modifying an equation of an original problem to obtain a state equation with the epsilon; s3, expanding the state equation by using a perturbation method to obtain a series of constant coefficient partial differential equations; s4, solving each constant coefficient partial differential equation; and S5, according to the perturbation parameters, carrying out gradual correction to obtain a result. According to the method, the perturbation method is applied, small parameter perturbation is defined, a nonlinear problem is c