Improved equation solving algorithm imitating walking principle of blind people

An equation solving and improved technology, applied in the field of improved equation solving algorithms, can solve problems such as inability to obtain analytical solutions for physical and chemical models, and difficulty in convergence of equation solving, achieving simple and easy-to-understand principles, low requirements, and computational stability. high effect

Pending Publication Date: 2019-09-17
TIANJIN UNIV
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Problems solved by technology

However, due to various reasons, many physical and chemical models cannot obtain analytical solutions at present, and can only be solved by numerical methods.
In many cases, there is a complex functional relationship between multiple parameters, which can be summarized as The form of the function, because of the strong nonlinearity of the function, often makes the solution of the equation difficult to converge

Method used

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  • Improved equation solving algorithm imitating walking principle of blind people
  • Improved equation solving algorithm imitating walking principle of blind people
  • Improved equation solving algorithm imitating walking principle of blind people

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Embodiment Construction

[0027] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

[0028] suppose ψ(x)=-12x 2 -3x+2, solve The positive root of , requires the iteration error to be less than 0.001.

[0029] According to the analytical solution, the above equation has two roots, which are -2 / 3 and 1 / 5.

[0030] Next, apply the algorithm of the present invention to solve its positive root, assuming x 0 =3, step length attenuation coefficient η=0.5, trial calculation step size dx=1. As shown in the calculation table 1, according to figure 1 The process is calculated:

[0031] (1) First let the trial calculation base point baxe_point=x 0 = 3, we can know by calculating separately ψ(3)=-115, initial error err 0 = 154, because Define base point state base_d...

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Abstract

The invention discloses an equation solving algorithm imitating walking principle of blind people. According to the algorithm, the requirement for solving objects is low, the algorithm is similar to a blind person for sensing the surrounding environment through a walking stick, the algorithm analyzes the characteristics of the solving objects through continuous trial calculation near known points, and the next step of solving direction and solving step length are intelligently adjusted according to the trial calculation result. In the trial calculation process, the calculation precision is continuously improved until the precision requirement is met, and calculation is ended. The blind people algorithm has low requirements on continuity and nonlinearity of a solved object, and is high in calculation convergence speed and high in precision.

Description

technical field [0001] The invention belongs to the field of numerical calculation methods, in particular to an improved equation solving algorithm imitating the walking principle of blind people. Background technique [0002] With the improvement of computer performance, more and more physical and chemical processes in the real world are solved by computer modeling. However, due to various reasons, many physical and chemical models cannot obtain analytical solutions at present, and can only be solved by numerical methods. In many cases, there is a complex functional relationship between multiple parameters, which can be summarized as In the form of , due to the strong nonlinearity of this function, it is often difficult to converge the solution of the equation. Contents of the invention [0003] The purpose of the present invention is to provide an improved equation solving algorithm that imitates the walking principle of the blind in order to overcome the deficiencies...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/11
CPCG06F17/11
Inventor 赵新杨冬冬
Owner TIANJIN UNIV
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