Two-part solution of Laplace's equation: an adaptive fuzzy system front-end with a Markov chain back-end

Summary form only given. This paper illustrates the combination of a fuzzy inference system with a Monte Carlo method to solve Laplace's equation. Fuzzy inference systems are found to be widely used in the area of control systems. As a general remark, fuzzy system applications can occur where expert knowledge can be translated into a cognitive set of rules. This tool along with a Monte Carlo method which employs Markov Chains is considered as an effective technique in whole field computation of boundary-value problems.