Finding Approximate Analytic Solutions To Differential Equations Using Genetic Programming

Abstract

The computational optimization technique, genetic programming, is applied to the analytic solution of general differential equations. The approach generates a mathematical expression that is an approximate or exact solution to the particular equation under consideration. Angeline's module acquisition (MA) and Koza's automatically defined functions (ADF) are considered and the results of some modifications are presented, including a significant result regarding a generalized crossover operator.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1999
Accession Number
ADA368510

Entities

People

  • Glenn Burgess

Organizations

  • Defence Science and Technology Group

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Acquisition
  • Algorithms
  • Australia
  • Automata
  • Coding
  • Computations
  • Computer Programming
  • Differential Equations
  • Engineering
  • Equations
  • Genetic Algorithms
  • Notation
  • Optimization
  • Standards
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Software Engineering

Technology Areas

  • Biotechnology