Initial value adjusting method and graph theoretical analysis for the solution of nonlinear multipoint boundary value problems with varying system dimensions |
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| Authors: | Takeo Ojika KWayne Welsh |
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| Institution: | Department of Technology, Osaka Kyoiku University, Osaka, Japan;Department of Mathematics, Fraser Valley College, Abbotsford, British Columbia, Canada |
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| Abstract: | The initial value adjusting method for the solution of nonlinear multipoint boundary value problems in which the system dimensions vary over subintervals is proposed. To reduce the computer storage requirements and the excessive amount of computer time, an algorithm based on a digraph and its associated Boolean matrices is also proposed. The effectiveness of these algorithms is illustrated by an application to a five compartment model from pharmacokinetics. |
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