Generalized solutions of the pursuit problem in three-dimensional Euclidean space

A more rigorous formulation of the pursuit in E 3 is presented. The classical solution is extended, and we then proceed to formulate a new method of solution defined as the intercept approach. This new technique involves the specification of an arbitrary `escape function' having real zeroes. Th...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 119; no. 1; pp. 35 - 45
Main Authors Ibidapo-Obe, O., Asaolu, O.S., Badiru, A.B.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 25.03.2001
Elsevier
Subjects
Euclidean space
Exact sciences and technology
Generalized solutions
Intercept approach
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Pursuit problem
Sciences and techniques of general use
Intercept approach
Euclidean space
Generalized solutions
Pursuit problem
Binomial expansion
Escape function
Differential equation
Kinematics
Speed limit
Binomial coefficient
Interception
Instanteneous distance
Equation system
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Summary:A more rigorous formulation of the pursuit in E 3 is presented. The classical solution is extended, and we then proceed to formulate a new method of solution defined as the intercept approach. This new technique involves the specification of an arbitrary `escape function' having real zeroes. The method has been used to model the path of a dog in pursuit of a fish in a newly developed computer game – FISHER. A simple numerical problem is solved to illustrate the ease of use of the new approach over the classical method.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(99)00227-1