- 學位論文
On the Application of Pseudo-Transient Continuation for Solving Biological Models
On the Application of Pseudo-Transient Continuation for Solving Biological Models
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並列摘要
We know that many biological problems can be described by some particular mathematical formulae. Our interest in this work is to show the capacity of applying numerical approaches to obtain the steady-state information embedded in the mathematical models so that the long-term behaviors can be found. To this purpose, we apply two well-known methods, the pseudo-transient continuation method, the ode45 method, for finding the steady-state solutions. Compared with the traditional ode45 method, the efficiency of the pseudo-transient continuation method is demonstrated in terms of a two-dimensional model, food chain models and the so-called burger's equation.
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