Accurate Numerical Determination of the Intersection Point of the Solution of a Differential Equation with a Given Algebraic Relation |
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Authors: | EVANS D J; FATUNLA S O |
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Institution: |
Department of Mathematics, University of Technology Loughborough, Leicestershire
Now of Department of Computer Studies, University of Technology Loughborough, Leicestershire
On leave of absence from University of Benin Benin City, Nigeria
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Abstract: | In this paper, the authors present an adaptation of the simplerational extrapolation scheme (Bulirsch & Stoer, 1966) tofind the point of intersection of the solution curve of an ordinarydifferential equation with a given curve or algebraic relationship.This point could also possibly be a point of discontinuity ofthe derivative. The integration algorithm is illustrated witha simple example. |
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