Evolutionary computation hybrids with Monte Carlo method for differential equation

Sheng-Ping Wu

doi:10.1117/12.966817

8 June 2012 Evolutionary computation hybrids with Monte Carlo method for differential equation

Sheng-Ping Wu

Proceedings Volume 8334, Fourth International Conference on Digital Image Processing (ICDIP 2012); 83343R (2012) https://doi.org/10.1117/12.966817
Event: Fourth International Conference on Digital Image Processing (ICDIP 2012), 2012, Kuala Lumpur, Malaysia

Abstract

This article uses the hybrids between recursive method and Monte Carlo method to solve the differential equation, for example in this article, the Schrödinger equation for atom, by two new methods one of which depends gross energy as fitness function, the other applies a special substitution and a delta function randomly chosen from the domain. After a examples implemented by program the result given by running on computer is perfectly in accordance to their algebra solution, which prove the new methods is powerful for solving differential equations.

Citation Download Citation

Sheng-Ping Wu "Evolutionary computation hybrids with Monte Carlo method for differential equation", Proc. SPIE 8334, Fourth International Conference on Digital Image Processing (ICDIP 2012), 83343R (8 June 2012); https://doi.org/10.1117/12.966817

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